@article {PetRac,
    AUTHOR = {Petersson, Holger P. and Racine, Michel L.},
     TITLE = {An elementary approach to the {S}erre-{R}ost invariant of
              {A}lbert algebras},
   JOURNAL = {Indag. Math. (N.S.)},
  FJOURNAL = {Koninklijke Nederlandse Akademie van Wetenschappen.
              Indagationes Mathematicae. New Series},
    VOLUME = {7},
      YEAR = {1996},
    NUMBER = {3},
     PAGES = {343--365},
      ISSN = {0019-3577},
   MRCLASS = {17C40},
  MRNUMBER = {1621373 (99j:17045)},
MRREVIEWER = {B. N. Allison},
       DOI = {10.1016/0019-3577(96)83725-6},
       URL = {http://dx.doi.org/10.1016/0019-3577(96)83725-6},
}

@article {PetrovSemenov,
    AUTHOR = {Petrov, Viktor and Semenov, Nikita},
     TITLE = {Generically split projective homogeneous varieties},
   JOURNAL = {Duke Math. J.},
  FJOURNAL = {Duke Mathematical Journal},
    VOLUME = {152},
      YEAR = {2010},
    NUMBER = {1},
     PAGES = {155--173},
      ISSN = {0012-7094},
     CODEN = {DUMJAO},
   MRCLASS = {14L35 (20Gxx)},
  MRNUMBER = {2643059},
       DOI = {10.1215/00127094-2010-010},
       URL = {http://dx.doi.org/10.1215/00127094-2010-010},
}

@book {SpringerVeldkamp,
    AUTHOR = {Springer, Tonny A. and Veldkamp, Ferdinand D.},
     TITLE = {Octonions, {J}ordan algebras and exceptional groups},
    SERIES = {Springer Monographs in Mathematics},
 PUBLISHER = {Springer-Verlag},
   ADDRESS = {Berlin},
      YEAR = {2000},
     PAGES = {viii+208},
      ISBN = {3-540-66337-1},
   MRCLASS = {17A75 (17C10 17C30 20G15)},
  MRNUMBER = {1763974 (2001f:17006)},
MRREVIEWER = {Plamen Koshlukov},
}

@article {SpringerJordan,
    AUTHOR = {Springer, Tonny A.},
     TITLE = {The classification of reduced exceptional simple {J}ordan
              algebras},
   JOURNAL = {Nederl. Akad. Wetensch. Proc. Ser.A 63 = Indag. Math.},
    VOLUME = {22},
      YEAR = {1960},
     PAGES = {414--422},
   MRCLASS = {17.40},
  MRNUMBER = {0147520 (26 \#5035)},
MRREVIEWER = {B. Harris},
}


@article {Albert,
    AUTHOR = {Albert, Abraham A.},
     TITLE = {A structure theory for {J}ordan algebras},
   JOURNAL = {Ann. of Math. (2)},
  FJOURNAL = {Annals of Mathematics. Second Series},
    VOLUME = {48},
      YEAR = {1947},
     PAGES = {546--567},
      ISSN = {0003-486X},
   MRCLASS = {09.1X},
  MRNUMBER = {0021546 (9,77f)},
MRREVIEWER = {R. Brauer},
}
@article {GilleConjII,
    AUTHOR = {Gille, Philippe},
     TITLE = {Cohomologie galoisienne des groupes quasi-d\'eploy\'es sur des
              corps de dimension cohomologique {$\leq 2$}},
   JOURNAL = {Compositio Math.},
  FJOURNAL = {Compositio Mathematica},
    VOLUME = {125},
      YEAR = {2001},
    NUMBER = {3},
     PAGES = {283--325},
      ISSN = {0010-437X},
     CODEN = {CMPMAF},
   MRCLASS = {11E72 (11S25 20G10 20G30)},
  MRNUMBER = {1818983 (2002c:11045)},
MRREVIEWER = {B. Sury},
       DOI = {10.1023/A:1002473132282},
       URL = {http://dx.doi.org/10.1023/A:1002473132282},
}


@article {Chernousovmod5,
    AUTHOR = {Chernousov, Vladimir},
     TITLE = {A remark on the {$({\rm mod}\, 5)$}-invariant of {S}erre for
              groups of type {$E_8$}},
   JOURNAL = {Mat. Zametki},
  FJOURNAL = {Rossi\u\i skaya Akademiya Nauk. Matematicheskie Zametki},
    VOLUME = {56},
      YEAR = {1994},
    NUMBER = {1},
     PAGES = {116--121, 157},
      ISSN = {0025-567X},
   MRCLASS = {20J05 (20G15)},
  MRNUMBER = {1309826 (95i:20072)},
       DOI = {10.1007/BF02110564},
       URL = {http://dx.doi.org/10.1007/BF02110564},
}
	

@book {Parimalabirthday,
     TITLE = {Quadratic forms, linear algebraic groups, and cohomology},
    SERIES = {Developments in Mathematics},
    VOLUME = {18},
    EDITOR = {Colliot-Th{\'e}l{\`e}ne, Jean-Louis and Garibaldi, Skip and
              Sujatha, Ramdorai and Suresh, Venapally},
 PUBLISHER = {Springer},
   ADDRESS = {New York},
      YEAR = {2010},
     PAGES = {x+348},
      ISBN = {978-1-4419-6210-2},
   MRCLASS = {11-06 (14-06 20-06)},
  MRNUMBER = {2572401 (2011c:11002)},
       DOI = {10.1007/978-1-4419-6211-9},
       URL = {http://dx.doi.org/10.1007/978-1-4419-6211-9},
}


@article {CTS77,
    AUTHOR = {Colliot-Th{\'e}l{\`e}ne, Jean-Louis and Sansuc, Jean-Jacques},
     TITLE = {La {$R$}-\'equivalence sur les tores},
   JOURNAL = {Ann. Sci. \'Ecole Norm. Sup. (4)},
  FJOURNAL = {Annales Scientifiques de l'\'Ecole Normale Sup\'erieure.
              Quatri\`eme S\'erie},
    VOLUME = {10},
      YEAR = {1977},
    NUMBER = {2},
     PAGES = {175--229},
      ISSN = {0012-9593},
   MRCLASS = {14G05 (12F20)},
  MRNUMBER = {0450280 (56 \#8576)},
MRREVIEWER = {Daniel Coray},
}
	
@book {Hartshorne,
    AUTHOR = {Hartshorne, Robin},
     TITLE = {Algebraic geometry},
      NOTE = {Graduate Texts in Mathematics, No. 52},
 PUBLISHER = {Springer-Verlag},
   ADDRESS = {New York},
      YEAR = {1977},
     PAGES = {xvi+496},
      ISBN = {0-387-90244-9},
   MRCLASS = {14-01},
  MRNUMBER = {0463157 (57 \#3116)},
MRREVIEWER = {Robert Speiser},
}

@book {FrohlichTaylor,
    AUTHOR = {Fr{\"o}hlich, Albrecht and Taylor, Martin J.},
     TITLE = {Algebraic number theory},
    SERIES = {Cambridge Studies in Advanced Mathematics},
    VOLUME = {27},
 PUBLISHER = {Cambridge University Press},
   ADDRESS = {Cambridge},
      YEAR = {1993},
     PAGES = {xiv+355},
      ISBN = {0-521-43834-9},
   MRCLASS = {11Rxx (13F05)},
  MRNUMBER = {1215934 (94d:11078)},
MRREVIEWER = {J. Browkin},
}
	

@book {PlatonovRapinchuk,
    AUTHOR = {Platonov, Vladimir and Rapinchuk, Andrei},
     TITLE = {Algebraic groups and number theory},
    SERIES = {Pure and Applied Mathematics},
    VOLUME = {139},
      NOTE = {Translated from the 1991 Russian original by Rachel Rowen},
 PUBLISHER = {Academic Press Inc.},
   ADDRESS = {Boston, MA},
      YEAR = {1994},
     PAGES = {xii+614},
      ISBN = {0-12-558180-7},
   MRCLASS = {11E57 (11-02 20Gxx)},
  MRNUMBER = {1278263 (95b:11039)},
}
@book {SerreLF,
    AUTHOR = {Serre, Jean-Pierre},
     TITLE = {Local fields},
    SERIES = {Graduate Texts in Mathematics},
    VOLUME = {67},
      NOTE = {Translated from the French by Marvin Jay Greenberg},
 PUBLISHER = {Springer-Verlag},
   ADDRESS = {New York},
      YEAR = {1979},
     PAGES = {viii+241},
      ISBN = {0-387-90424-7},
   MRCLASS = {12Bxx},
  MRNUMBER = {554237 (82e:12016)},
}


@book {JacobsonII,
    AUTHOR = {Jacobson, Nathan},
     TITLE = {Basic algebra. {II}},
   EDITION = {Second},
 PUBLISHER = {W. H. Freeman and Company},
   ADDRESS = {New York},
      YEAR = {1989},
     PAGES = {xviii+686},
      ISBN = {0-7167-1933-9},
   MRCLASS = {00A05 (12-01 15-01 16-01)},
  MRNUMBER = {1009787 (90m:00007)},
MRREVIEWER = {P. M. Cohn},
}

@book {Humphreys,
    AUTHOR = {Humphreys, James E.},
     TITLE = {Introduction to {L}ie algebras and representation theory},
    SERIES = {Graduate Texts in Mathematics},
    VOLUME = {9},
      NOTE = {Second printing, revised},
 PUBLISHER = {Springer-Verlag},
   ADDRESS = {New York},
      YEAR = {1978},
     PAGES = {xii+171},
      ISBN = {0-387-90053-5},
   MRCLASS = {17Bxx},
  MRNUMBER = {499562 (81b:17007)},
MRREVIEWER = {I. P. Shestakov},
}


@book {Brown,
    AUTHOR = {Brown, Kenneth S.},
     TITLE = {Cohomology of groups},
    SERIES = {Graduate Texts in Mathematics},
    VOLUME = {87},
      NOTE = {Corrected reprint of the 1982 original},
 PUBLISHER = {Springer-Verlag},
   ADDRESS = {New York},
      YEAR = {1994},
     PAGES = {x+306},
      ISBN = {0-387-90688-6},
   MRCLASS = {20J05 (20-02)},
  MRNUMBER = {1324339 (96a:20072)},
}

@incollection {BarqueroMerk,
    AUTHOR = {Barquero, P. and Merkurjev, A.},
     TITLE = {Norm principle for reductive algebraic groups},
 BOOKTITLE = {Algebra, arithmetic and geometry, {P}art {I}, {II} ({M}umbai,
              2000)},
    SERIES = {Tata Inst. Fund. Res. Stud. Math.},
    VOLUME = {16},
     PAGES = {123--137},
 PUBLISHER = {Tata Inst. Fund. Res.},
   ADDRESS = {Bombay},
      YEAR = {2002},
   MRCLASS = {20G15},
  MRNUMBER = {1940665 (2003h:20082)},
MRREVIEWER = {George J. McNinch},
}


@article {Barquero,
    AUTHOR = {Barquero-Salavert, P. B.},
     TITLE = {Similitudes of algebras with involution under odd-degree
              extensions},
   JOURNAL = {Comm. Algebra},
  FJOURNAL = {Communications in Algebra},
    VOLUME = {34},
      YEAR = {2006},
    NUMBER = {2},
     PAGES = {625--632},
      ISSN = {0092-7872},
     CODEN = {COALDM},
   MRCLASS = {16W10 (20G10 20G15)},
  MRNUMBER = {2211943 (2006j:16049)},
MRREVIEWER = {Jos{\'e} A. Anquela},
       DOI = {10.1080/00927870500387853},
       URL = {http://dx.doi.org/10.1080/00927870500387853},
}

@article {Totarospin,
    AUTHOR = {Totaro, Burt},
     TITLE = {The torsion index of the spin groups},
   JOURNAL = {Duke Math. J.},
  FJOURNAL = {Duke Mathematical Journal},
    VOLUME = {129},
      YEAR = {2005},
    NUMBER = {2},
     PAGES = {249--290},
      ISSN = {0012-7094},
     CODEN = {DUMJAO},
   MRCLASS = {57T10 (57T15)},
  MRNUMBER = {2165543 (2006f:57039b)},
MRREVIEWER = {Ryan Skip Garibaldi},
       DOI = {10.1215/S0012-7094-05-12923-4},
       URL = {http://dx.doi.org/10.1215/S0012-7094-05-12923-4},
}
	
@preamble{
   "\def\cftil#1{\ifmmode\setbox7\hbox{$\accent"5E#1$}\else
    \setbox7\hbox{\accent"5E#1}\penalty 10000\relax\fi\raise 1\ht7
    \hbox{\lower1.15ex\hbox to 1\wd7{\hss\accent"7E\hss}}\penalty 10000
    \hskip-1\wd7\penalty 10000\box7} "
}
@article {Parihomog,
    AUTHOR = {Parimala, R.},
     TITLE = {Homogeneous varieties---zero-cycles of degree one versus
              rational points},
   JOURNAL = {Asian J. Math.},
  FJOURNAL = {The Asian Journal of Mathematics},
    VOLUME = {9},
      YEAR = {2005},
    NUMBER = {2},
     PAGES = {251--256},
      ISSN = {1093-6106},
   MRCLASS = {14M17 (14E08 14L40)},
  MRNUMBER = {2176607 (2006m:14068)},
MRREVIEWER = {Nguy{\cftil{e}}n Qu{\^o}c Th{\'a}ng},
}

@article {Florence,
    AUTHOR = {Florence, Mathieu},
     TITLE = {Z\'ero-cycles de degr\'e un sur les espaces homog\`enes},
   JOURNAL = {Int. Math. Res. Not.},
  FJOURNAL = {International Mathematics Research Notices},
      YEAR = {2004},
    NUMBER = {54},
     PAGES = {2897--2914},
      ISSN = {1073-7928},
   MRCLASS = {14L30},
  MRNUMBER = {2097288 (2005i:14057)},
MRREVIEWER = {Baohua Fu},
       DOI = {10.1155/S1073792804140750},
       URL = {http://dx.doi.org/10.1155/S1073792804140750},
}
		

@article {HKRT,
    AUTHOR = {Haile, Darrell E. and Knus, Max-Albert and Rost, Markus and
              Tignol, Jean-Pierre},
     TITLE = {Algebras of odd degree with involution, trace forms and
              dihedral extensions},
   JOURNAL = {Israel J. Math.},
  FJOURNAL = {Israel Journal of Mathematics},
    VOLUME = {96},
      YEAR = {1996},
    NUMBER = {, part B},
     PAGES = {299--340},
      ISSN = {0021-2172},
     CODEN = {ISJMAP},
   MRCLASS = {16K20 (16W10)},
  MRNUMBER = {1433693 (98h:16024)},
       DOI = {10.1007/BF02937309},
       URL = {http://dx.doi.org/10.1007/BF02937309},
}


@book {Milne,
    AUTHOR = {Milne, James S.},
     TITLE = {\'{E}tale cohomology},
    SERIES = {Princeton Mathematical Series},
    VOLUME = {33},
 PUBLISHER = {Princeton University Press},
   ADDRESS = {Princeton, N.J.},
      YEAR = {1980},
     PAGES = {xiii+323},
      ISBN = {0-691-08238-3},
   MRCLASS = {14-02 (14F20 18F99)},
  MRNUMBER = {559531 (81j:14002)},
MRREVIEWER = {G. Horrocks},
}


@book {Waterhouse,
    AUTHOR = {Waterhouse, William C.},
     TITLE = {Introduction to affine group schemes},
    SERIES = {Graduate Texts in Mathematics},
    VOLUME = {66},
 PUBLISHER = {Springer-Verlag},
   ADDRESS = {New York},
      YEAR = {1979},
     PAGES = {xi+164},
      ISBN = {0-387-90421-2},
   MRCLASS = {14-01 (14Lxx 20G99)},
  MRNUMBER = {547117 (82e:14003)},
MRREVIEWER = {M. Kh. Gizatullin},
}

@book {FT93,
    AUTHOR = {Fr{\"o}hlich, A. and Taylor, M. J.},
     TITLE = {Algebraic number theory},
    SERIES = {Cambridge Studies in Advanced Mathematics},
    VOLUME = {27},
 PUBLISHER = {Cambridge University Press},
   ADDRESS = {Cambridge},
      YEAR = {1993},
     PAGES = {xiv+355},
      ISBN = {0-521-43834-9},
   MRCLASS = {11Rxx (13F05)},
  MRNUMBER = {1215934 (94d:11078)},
MRREVIEWER = {J. Browkin},
}


@article {Skip2,
AUTHOR = {Garibaldi, Ryan Skip},
TITLE = {The Rost Invariant has zero kernel for quasi-split trialitarian groups},
JOURNAL = {http://arxiv.org/pdf/1004.0663v1},
}

@article{Zinovy,
AUTHOR = {Reichstein, Zinovy},
TITLE = {Essential Dimension},
JOURNAL = {(to appear) Proceedings of the International Congress of Mathematicians, Hyderabad India 2010},
}

@book {SkipMerkSerre,
AUTHOR = {Garibaldi, Ryan Skip and Merkurjev, Alexander and Serre, Jean-Pierre},
     TITLE = {Cohomological Invariants in {G}alois Cohomology},
    SERIES = {University Lecture Series},
    VOLUME = {28},
 PUBLISHER = {American Mathematical Society},
   ADDRESS = {Providence, RI},
      YEAR = {2003},
     PAGES = {viii+168},
      ISBN = {0-8218-3287-5},
   MRCLASS = {11E72 (12G05)},
  MRNUMBER = {1999383 (2004f:11034)},
MRREVIEWER = {Gr{\'e}gory Berhuy},
}

@article {G,
    AUTHOR = {Gille, Philippe},
     TITLE = {La {$R$}-\'equivalence sur les groupes alg\'ebriques
              r\'eductifs d\'efinis sur un corps global},
   JOURNAL = {Inst. Hautes \'Etudes Sci. Publ. Math.},
  FJOURNAL = {Institut des Hautes \'Etudes Scientifiques. Publications
              Math\'ematiques},
    NUMBER = {86},
      YEAR = {1997},
     PAGES = {199--235 (1998)},
      ISSN = {0073-8301},
     CODEN = {PMIHA6},
   MRCLASS = {20G30 (14G05)},
  MRNUMBER = {1608570 (99c:20066)},
MRREVIEWER = {B. Sury},
       URL = {http://www.numdam.org/item?id=PMIHES_1997__86__199_0},
}


@book {KMRT,
    AUTHOR = {Knus, Max-Albert and Merkurjev, Alexander and Rost, Markus and
              Tignol, Jean-Pierre},
     TITLE = {The book of involutions},
    SERIES = {American Mathematical Society Colloquium Publications},
    VOLUME = {44},
      NOTE = {With a preface in French by J. Tits},
 PUBLISHER = {American Mathematical Society},
   ADDRESS = {Providence, RI},
      YEAR = {1998},
     PAGES = {xxii+593},
      ISBN = {0-8218-0904-0},
   MRCLASS = {16K20 (11E39 11E57 11E72 11E88 16W10 20G10)},
  MRNUMBER = {1632779 (2000a:16031)},
MRREVIEWER = {A. R. Wadsworth},
}

@book {GilleSzam,
    AUTHOR = {Gille, Philippe and Szamuely, Tam{\'a}s},
     TITLE = {Central simple algebras and {G}alois cohomology},
    SERIES = {Cambridge Studies in Advanced Mathematics},
    VOLUME = {101},
 PUBLISHER = {Cambridge University Press},
   ADDRESS = {Cambridge},
      YEAR = {2006},
     PAGES = {xii+343},
      ISBN = {978-0-521-86103-8; 0-521-86103-9},
   MRCLASS = {16K20 (14F22 19C30)},
  MRNUMBER = {2266528 (2007k:16033)},
MRREVIEWER = {Gr{\'e}gory Berhuy},
}

@book {Borel,
    AUTHOR = {Borel, Armand},
     TITLE = {Linear algebraic groups},
    SERIES = {Graduate Texts in Mathematics},
    VOLUME = {126},
   EDITION = {Second},
 PUBLISHER = {Springer-Verlag},
   ADDRESS = {New York},
      YEAR = {1baye991},
     PAGES = {xii+288},
      ISBN = {0-387-97370-2},
   MRCLASS = {20-01 (20Gxx)},
  MRNUMBER = {1102012 (92d:20001)},
MRREVIEWER = {F. D. Veldkamp},
}

@article {BayerParimala,
    AUTHOR = {Bayer-Fluckiger, Eva and Parimala, Raman},
     TITLE = {Galois cohomology of the classical groups over fields of
              cohomological dimension {$\leq 2$}},
   JOURNAL = {Invent. Math.},
  FJOURNAL = {Inventiones Mathematicae},
    VOLUME = {122},
      YEAR = {1995},
    NUMBER = {2},
     PAGES = {195--229},
      ISSN = {0020-9910},
     CODEN = {INVMBH},
   MRCLASS = {11E72 (11E39 11E57 20G10)},
  MRNUMBER = {1358975 (96i:11042)},
MRREVIEWER = {Adrian R. Wadsworth},
       DOI = {10.1007/BF01231443},
       URL = {http://dx.doi.org/10.1007/BF01231443},
}

@article {BayerLenstra,
    AUTHOR = {Bayer-Fluckiger, Eva and Lenstra, Jr., Hendrik W.},
     TITLE = {Forms in odd degree extensions and self-dual normal bases},
   JOURNAL = {Amer. J. Math.},
  FJOURNAL = {American Journal of Mathematics},
    VOLUME = {112},
      YEAR = {1990},
    NUMBER = {3},
     PAGES = {359--373},
      ISSN = {0002-9327},
     CODEN = {AJMAAN},
   MRCLASS = {11E72 (11E39)},
  MRNUMBER = {1055648 (91h:11030)},
MRREVIEWER = {Rudolf Scharlau},
       DOI = {10.2307/2374746},
       URL = {http://dx.doi.org/10.2307/2374746},
}

@book {Scharlau,
    AUTHOR = {Scharlau, Winfried},
     TITLE = {Quadratic and {H}ermitian forms},
    SERIES = {Grundlehren der Mathematischen Wissenschaften [Fundamental
              Principles of Mathematical Sciences]},
    VOLUME = {270},
 PUBLISHER = {Springer-Verlag},
   ADDRESS = {Berlin},
      YEAR = {1985},
     PAGES = {x+421},
      ISBN = {3-540-13724-6},
   MRCLASS = {11Exx (11-02 12D15 15A63 16A16 16A28)},
  MRNUMBER = {770063 (86k:11022)},
MRREVIEWER = {R. Ware},
}

@preamble{
   "\def\cprime{$'$} "
}
@article {MerkurjevNP,
    AUTHOR = {Merkurjev, Alexander},
     TITLE = {The norm principle for algebraic groups},
   JOURNAL = {Algebra i Analiz},
  FJOURNAL = {Rossi\u\i skaya Akademiya Nauk. Algebra i Analiz},
    VOLUME = {7},
      YEAR = {1995},
    NUMBER = {2},
     PAGES = {77--105},
      ISSN = {0234-0852},
   MRCLASS = {20G15},
  MRNUMBER = {1347513 (96k:20088)},
MRREVIEWER = {Vladimir I. Chernousov},
}

@article {GilleNP,
    AUTHOR = {Gille, Philippe},
     TITLE = {{$R$}-\'equivalence et principe de norme en cohomologie
              galoisienne},
   JOURNAL = {C. R. Acad. Sci. Paris S\'er. I Math.},
  FJOURNAL = {Comptes Rendus de l'Acad\'emie des Sciences. S\'erie I.
              Math\'ematique},
    VOLUME = {316},
      YEAR = {1993},
    NUMBER = {4},
     PAGES = {315--320},
      ISSN = {0764-4442},
     CODEN = {CASMEI},
   MRCLASS = {12G05},
  MRNUMBER = {1204296 (94a:12010)},
}

@book {Humphreys,
    AUTHOR = {Humphreys, James E.},
     TITLE = {Introduction to {L}ie algebras and representation theory},
    SERIES = {Graduate Texts in Mathematics},
    VOLUME = {9},
      NOTE = {Second printing, revised},
 PUBLISHER = {Springer-Verlag},
   ADDRESS = {New York},
      YEAR = {1978},
     PAGES = {xii+171},
      ISBN = {0-387-90053-5},
   MRCLASS = {17Bxx},
  MRNUMBER = {499562 (81b:17007)},
MRREVIEWER = {I. P. Shestakov},
}

@article {Weil,
    AUTHOR = {Weil, Andr{\'e}},
     TITLE = {Algebras with involutions and the classical groups},
   JOURNAL = {J. Indian Math. Soc. (N.S.)},
    VOLUME = {24},
      YEAR = {1960},
     PAGES = {589--623 (1961)},
   MRCLASS = {22.50 (16.46)},
  MRNUMBER = {0136682 (25 \#147)},
MRREVIEWER = {J. Dieudonn{\'e}},
}

@book {SerreGC,
    AUTHOR = {Serre, Jean-Pierre},
     TITLE = {Galois cohomology},
    SERIES = {Springer Monographs in Mathematics},
   EDITION = {English},
      NOTE = {Translated from the French by Patrick Ion and revised by the
              author},
 PUBLISHER = {Springer-Verlag},
   ADDRESS = {Berlin},
      YEAR = {2002},
     PAGES = {x+210},
      ISBN = {3-540-42192-0},
   MRCLASS = {12G05 (11R34)},
  MRNUMBER = {1867431 (2002i:12004)},
}

@book {Knus,
    AUTHOR = {Knus, Max-Albert},
     TITLE = {Quadratic and {H}ermitian forms over rings},
    SERIES = {Grundlehren der Mathematischen Wissenschaften [Fundamental
              Principles of Mathematical Sciences]},
    VOLUME = {294},
      NOTE = {With a foreword by I. Bertuccioni},
 PUBLISHER = {Springer-Verlag},
   ADDRESS = {Berlin},
      YEAR = {1991},
     PAGES = {xii+524},
      ISBN = {3-540-52117-8},
   MRCLASS = {11Exx (11E39 11E81 16E20 19Gxx)},
  MRNUMBER = {1096299 (92i:11039)},
MRREVIEWER = {Rudolf Scharlau},
}

@book {Kneser,
    AUTHOR = {Kneser, Martin},
     TITLE = {Lectures on {G}alois cohomology of classical groups},
      NOTE = {With an appendix by T. A. Springer,
              Notes by P. Jothilingam,
              Tata Institute of Fundamental Research Lectures on
              Mathematics, No. 47},
 PUBLISHER = {Tata Institute of Fundamental Research},
   ADDRESS = {Bombay},
      YEAR = {1969},
     PAGES = {ii+158},
   MRCLASS = {20G10 (12A60)},
  MRNUMBER = {0340440 (49 \#5195)},
MRREVIEWER = {R. Steinberg},
}			

@article {Chernousov,
    AUTHOR = {Chernousov, Vladimir},
     TITLE = {The kernel of the {R}ost invariant, {S}erre's conjecture {II}
              and the {H}asse principle for quasi-split groups {${}^{3,6}D_4,E_6,E_7$}},
   JOURNAL = {Math. Ann.},
  FJOURNAL = {Mathematische Annalen},
    VOLUME = {326},
      YEAR = {2003},
    NUMBER = {2},
     PAGES = {297--330},
      ISSN = {0025-5831},
     CODEN = {MAANA},
   MRCLASS = {20G10 (11E72)},
  MRNUMBER = {1990912 (2004e:20079)},
MRREVIEWER = {Philippe Gille},
       DOI = {10.1007/s00208-003-0417-x},
       URL = {http://dx.doi.org/10.1007/s00208-003-0417-x},
}	

@article {ChernousovHasse,
    AUTHOR = {Chernousov, Vladimir},
     TITLE = {The {H}asse principle for groups of type {$E_8$}},
   JOURNAL = {Dokl. Akad. Nauk SSSR},
  FJOURNAL = {Doklady Akademii Nauk SSSR},
    VOLUME = {306},
      YEAR = {1989},
    NUMBER = {5},
     PAGES = {1059--1063},
      ISSN = {0002-3264},
   MRCLASS = {11E72 (20G10)},
  MRNUMBER = {1014762 (90m:11055)},
MRREVIEWER = {J. S. Joel},
}



@article {Skip,
    AUTHOR = {Garibaldi, Ryan Skip},
     TITLE = {The {R}ost invariant has trivial kernel for quasi-split groups
              of low rank},
   JOURNAL = {Comment. Math. Helv.},
  FJOURNAL = {Commentarii Mathematici Helvetici},
    VOLUME = {76},
      YEAR = {2001},
    NUMBER = {4},
     PAGES = {684--711},
      ISSN = {0010-2571},
     CODEN = {COMHAX},
   MRCLASS = {20G10 (17B25)},
  MRNUMBER = {1881703 (2003g:20079)},
MRREVIEWER = {Kevin P. Knudson},
       DOI = {10.1007/s00014-001-8325-8},
       URL = {http://dx.doi.org/10.1007/s00014-001-8325-8},
}

@article {Serre,
    AUTHOR = {Serre, Jean-Pierre},
     TITLE = {Cohomologie galoisienne: progr\`es et probl\`emes},
      NOTE = {S{\'e}minaire Bourbaki, Vol. 1993/94},
   JOURNAL = {Ast\'erisque},
  FJOURNAL = {Ast\'erisque},
    NUMBER = {227},
      YEAR = {1995},
     PAGES = {Exp.\ No.\ 783, 4, 229--257},
      ISSN = {0303-1179},
   MRCLASS = {11E72 (11D99 12G05)},
  MRNUMBER = {1321649 (97d:11063)},
}		

@article {Sansuc,
    AUTHOR = {Sansuc, Jean-Jaques},
     TITLE = {Groupe de {B}rauer et arithm\'etique des groupes alg\'ebriques
              lin\'eaires sur un corps de nombres},
   JOURNAL = {J. Reine Angew. Math.},
  FJOURNAL = {Journal f\"ur die Reine und Angewandte Mathematik},
    VOLUME = {327},
      YEAR = {1981},
     PAGES = {12--80},
      ISSN = {0075-4102},
     CODEN = {JRMAA8},
   MRCLASS = {12G05 (10C30 14G25 20G30 20G35)},
  MRNUMBER = {631309 (83d:12010)},
MRREVIEWER = {David Goss},
       DOI = {10.1515/crll.1981.327.12},
       URL = {http://dx.doi.org/10.1515/crll.1981.327.12},
}
		

@article {Rostmod3,
    AUTHOR = {Rost, Markus},
     TITLE = {A {$({\rm mod}\; 3)$} invariant for exceptional {J}ordan
              algebras},
   JOURNAL = {C. R. Acad. Sci. Paris S\'er. I Math.},
  FJOURNAL = {Comptes Rendus de l'Acad\'emie des Sciences. S\'erie I.
              Math\'ematique},
    VOLUME = {313},
      YEAR = {1991},
    NUMBER = {12},
     PAGES = {823--827},
      ISSN = {0764-4442},
     CODEN = {CASMEI},
   MRCLASS = {19D45 (17C40)},
  MRNUMBER = {1138557 (92j:19002)},
}		


@article {Springer,
    AUTHOR = {Springer, Tonny Albert},
     TITLE = {Sur les formes quadratiques d'indice z\'ero},
   JOURNAL = {C. R. Acad. Sci. Paris},
    VOLUME = {234},
      YEAR = {1952},
     PAGES = {1517--1519},
   MRCLASS = {09.1X},
  MRNUMBER = {0047021 (13,815j)},
MRREVIEWER = {W. H. Durfee},
}


@article {Scharlau2,
    AUTHOR = {Scharlau, Winfried},
     TITLE = {Induction theorems and the structure of the {W}itt group},
   JOURNAL = {Invent. Math.},
  FJOURNAL = {Inventiones Mathematicae},
    VOLUME = {11},
      YEAR = {1970},
     PAGES = {37--44},
      ISSN = {0020-9910},
   MRCLASS = {10C05 (16A54 20C30)},
  MRNUMBER = {0292752 (45 \#1834)},
MRREVIEWER = {J. S. Hsia},
}

@article {BayerPariHasse,
    AUTHOR = {Bayer-Fluckiger, Eva and Parimala, Raman},
     TITLE = {Classical groups and the {H}asse principle},
   JOURNAL = {Ann. of Math. (2)},
  FJOURNAL = {Annals of Mathematics. Second Series},
    VOLUME = {147},
      YEAR = {1998},
    NUMBER = {3},
     PAGES = {651--693},
      ISSN = {0003-486X},
     CODEN = {ANMAAH},
   MRCLASS = {11E72 (11E57 20G10)},
  MRNUMBER = {1637659 (99g:11055)},
MRREVIEWER = {Adrian R. Wadsworth},
       DOI = {10.2307/120961},
       URL = {http://dx.doi.org/10.2307/120961},
}


@article {HarderHasse,
    AUTHOR = {Harder, G{\"u}nter},
     TITLE = {\"{U}ber die {G}aloiskohomologie halbeinfacher
              {M}atrizengruppen. {II}},
   JOURNAL = {Math. Z.},
  FJOURNAL = {Mathematische Zeitschrift},
    VOLUME = {92},
      YEAR = {1966},
     PAGES = {396--415},
      ISSN = {0025-5874},
   MRCLASS = {14.50},
  MRNUMBER = {0202918 (34 \#2777)},
MRREVIEWER = {R. Steinberg},
}

@article{KneserSchwache,
AUTHOR = {Kneser, Martin},
     TITLE = {Schwache Approximation in Algebraischen Gruppen},
   conference={
      title={Colloque Sur La Theorie Des Groupes Algebriques (CBRM, 1962)},
   },
year =1962   
pages={41-52}
}

@book {PlatonovRapinchuk,
    AUTHOR = {Platonov, Vladimir and Rapinchuk, Andrei},
     TITLE = {Algebraic groups and number theory},
    SERIES = {Pure and Applied Mathematics},
    VOLUME = {139},
      NOTE = {Translated from the 1991 Russian original by Rachel Rowen},
 PUBLISHER = {Academic Press Inc.},
   ADDRESS = {Boston, MA},
      YEAR = {1994},
     PAGES = {xii+614},
      ISBN = {0-12-558180-7},
   MRCLASS = {11E57 (11-02 20Gxx)},
  MRNUMBER = {1278263 (95b:11039)},
}

@book{KneserHasse,
   AUTHOR={Kneser, Martin},
   TITLE={Hasse principle for $H^1$ of simply connected groups},
   SERIES={Algebraic Groups and Discontinuous Subgroups (Proc. Sympos.
      Pure Math., Boulder, Colo., 1965), pg. 159-163},
   PUBLISHER={Amer. Math. Soc.},
   ADDRESS ={Providence, R.I.},
   YEAR={1966},
   PAGES={159--163},
   MRNUMBER={0220736 (36 \#3788)}},
}
	@preamble{
   "\def\cftil#1{\ifmmode\setbox7\hbox{$\accent"5E#1$}\else
    \setbox7\hbox{\accent"5E#1}\penalty 10000\relax\fi\raise 1\ht7
    \hbox{\lower1.15ex\hbox to 1\wd7{\hss\accent"7E\hss}}\penalty 10000
    \hskip-1\wd7\penalty 10000\box7} "
}
@article {Parihomog,
    AUTHOR = {Parimala, R.},
     TITLE = {Homogeneous varieties---zero-cycles of degree one versus
              rational points},
   JOURNAL = {Asian J. Math.},
  FJOURNAL = {The Asian Journal of Mathematics},
    VOLUME = {9},
      YEAR = {2005},
    NUMBER = {2},
     PAGES = {251--256},
      ISSN = {1093-6106},
   MRCLASS = {14M17 (14E08 14L40)},
  MRNUMBER = {2176607 (2006m:14068)},
MRREVIEWER = {Nguy{\cftil{e}}n Qu{\^o}c Th{\'a}ng},
}

@article {Florence,
    AUTHOR = {Florence, Mathieu},
     TITLE = {Z\'ero-cycles de degr\'e un sur les espaces homog\`enes},
   JOURNAL = {Int. Math. Res. Not.},
  FJOURNAL = {International Mathematics Research Notices},
      YEAR = {2004},
    NUMBER = {54},
     PAGES = {2897--2914},
      ISSN = {1073-7928},
   MRCLASS = {14L30},
  MRNUMBER = {2097288 (2005i:14057)},
MRREVIEWER = {Baohua Fu},
       DOI = {10.1155/S1073792804140750},
       URL = {http://dx.doi.org/10.1155/S1073792804140750},
}
		

@article {HKRT,
    AUTHOR = {Haile, Darrell E. and Knus, Max-Albert and Rost, Markus and
              Tignol, Jean-Pierre},
     TITLE = {Algebras of odd degree with involution, trace forms and
              dihedral extensions},
   JOURNAL = {Israel J. Math.},
  FJOURNAL = {Israel Journal of Mathematics},
    VOLUME = {96},
      YEAR = {1996},
    NUMBER = {, part B},
     PAGES = {299--340},
      ISSN = {0021-2172},
     CODEN = {ISJMAP},
   MRCLASS = {16K20 (16W10)},
  MRNUMBER = {1433693 (98h:16024)},
       DOI = {10.1007/BF02937309},
       URL = {http://dx.doi.org/10.1007/BF02937309},
}


@book {Milne,
    AUTHOR = {Milne, James S.},
     TITLE = {\'{E}tale cohomology},
    SERIES = {Princeton Mathematical Series},
    VOLUME = {33},
 PUBLISHER = {Princeton University Press},
   ADDRESS = {Princeton, N.J.},
      YEAR = {1980},
     PAGES = {xiii+323},
      ISBN = {0-691-08238-3},
   MRCLASS = {14-02 (14F20 18F99)},
  MRNUMBER = {559531 (81j:14002)},
MRREVIEWER = {G. Horrocks},
}


@book {Waterhouse,
    AUTHOR = {Waterhouse, William C.},
     TITLE = {Introduction to affine group schemes},
    SERIES = {Graduate Texts in Mathematics},
    VOLUME = {66},
 PUBLISHER = {Springer-Verlag},
   ADDRESS = {New York},
      YEAR = {1979},
     PAGES = {xi+164},
      ISBN = {0-387-90421-2},
   MRCLASS = {14-01 (14Lxx 20G99)},
  MRNUMBER = {547117 (82e:14003)},
MRREVIEWER = {M. Kh. Gizatullin},
}

@book {FT93,
    AUTHOR = {Fr{\"o}hlich, A. and Taylor, M. J.},
     TITLE = {Algebraic number theory},
    SERIES = {Cambridge Studies in Advanced Mathematics},
    VOLUME = {27},
 PUBLISHER = {Cambridge University Press},
   ADDRESS = {Cambridge},
      YEAR = {1993},
     PAGES = {xiv+355},
      ISBN = {0-521-43834-9},
   MRCLASS = {11Rxx (13F05)},
  MRNUMBER = {1215934 (94d:11078)},
MRREVIEWER = {J. Browkin},
}


@article {Skip2,
AUTHOR = {Garibaldi, Ryan Skip},
TITLE = {The Rost Invariant has zero kernel for quasi-split trialitarian groups},
JOURNAL = {http://arxiv.org/pdf/1004.0663v1},
}

@article{Zinovy,
AUTHOR = {Reichstein, Zinovy},
TITLE = {Essential Dimension},
JOURNAL = {(to appear) Proceedings of the International Congress of Mathematicians, Hyderabad India 2010},
}

@book {SkipMerkSerre,
AUTHOR = {Garibaldi, Skip and Merkurjev, Alexander and Serre Jean-Pierre},
     TITLE = {Cohomological Invariants in {G}alois Cohomology},
    SERIES = {University Lecture Series},
    VOLUME = {28},
 PUBLISHER = {American Mathematical Society},
   ADDRESS = {Providence, RI},
      YEAR = {2003},
     PAGES = {viii+168},
      ISBN = {0-8218-3287-5},
   MRCLASS = {11E72 (12G05)},
  MRNUMBER = {1999383 (2004f:11034)},
MRREVIEWER = {Gr{\'e}gory Berhuy},
}

@article {G,
    AUTHOR = {Gille, Philippe},
     TITLE = {La {$R$}-\'equivalence sur les groupes alg\'ebriques
              r\'eductifs d\'efinis sur un corps global},
   JOURNAL = {Inst. Hautes \'Etudes Sci. Publ. Math.},
  FJOURNAL = {Institut des Hautes \'Etudes Scientifiques. Publications
              Math\'ematiques},
    NUMBER = {86},
      YEAR = {1997},
     PAGES = {199--235 (1998)},
      ISSN = {0073-8301},
     CODEN = {PMIHA6},
   MRCLASS = {20G30 (14G05)},
  MRNUMBER = {1608570 (99c:20066)},
MRREVIEWER = {B. Sury},
       URL = {http://www.numdam.org/item?id=PMIHES_1997__86__199_0},
}


@book {KMRT,
    AUTHOR = {Knus, Max-Albert and Merkurjev, Alexander and Rost, Markus and
              Tignol, Jean-Pierre},
     TITLE = {The book of involutions},
    SERIES = {American Mathematical Society Colloquium Publications},
    VOLUME = {44},
      NOTE = {With a preface in French by J. Tits},
 PUBLISHER = {American Mathematical Society},
   ADDRESS = {Providence, RI},
      YEAR = {1998},
     PAGES = {xxii+593},
      ISBN = {0-8218-0904-0},
   MRCLASS = {16K20 (11E39 11E57 11E72 11E88 16W10 20G10)},
  MRNUMBER = {1632779 (2000a:16031)},
MRREVIEWER = {A. R. Wadsworth},
}

@book {GilleSzam,
    AUTHOR = {Gille, Philippe and Szamuely, Tam{\'a}s},
     TITLE = {Central simple algebras and {G}alois cohomology},
    SERIES = {Cambridge Studies in Advanced Mathematics},
    VOLUME = {101},
 PUBLISHER = {Cambridge University Press},
   ADDRESS = {Cambridge},
      YEAR = {2006},
     PAGES = {xii+343},
      ISBN = {978-0-521-86103-8; 0-521-86103-9},
   MRCLASS = {16K20 (14F22 19C30)},
  MRNUMBER = {2266528 (2007k:16033)},
MRREVIEWER = {Gr{\'e}gory Berhuy},
}

@book {Borel,
    AUTHOR = {Borel, Armand},
     TITLE = {Linear algebraic groups},
    SERIES = {Graduate Texts in Mathematics},
    VOLUME = {126},
   EDITION = {Second},
 PUBLISHER = {Springer-Verlag},
   ADDRESS = {New York},
      YEAR = {1991},
     PAGES = {xii+288},
      ISBN = {0-387-97370-2},
   MRCLASS = {20-01 (20Gxx)},
  MRNUMBER = {1102012 (92d:20001)},
MRREVIEWER = {F. D. Veldkamp},
}

@article {BayerParimala,
    AUTHOR = {Bayer-Fluckiger, Eva and Parimala, Raman},
     TITLE = {Galois cohomology of the classical groups over fields of
              cohomological dimension {$\leq 2$}},
   JOURNAL = {Invent. Math.},
  FJOURNAL = {Inventiones Mathematicae},
    VOLUME = {122},
      YEAR = {1995},
    NUMBER = {2},
     PAGES = {195--229},
      ISSN = {0020-9910},
     CODEN = {INVMBH},
   MRCLASS = {11E72 (11E39 11E57 20G10)},
  MRNUMBER = {1358975 (96i:11042)},
MRREVIEWER = {Adrian R. Wadsworth},
       DOI = {10.1007/BF01231443},
       URL = {http://dx.doi.org/10.1007/BF01231443},
}

@article {BayerLenstra,
    AUTHOR = {Bayer-Fluckiger, E. and Lenstra, Jr., H. W.},
     TITLE = {Forms in odd degree extensions and self-dual normal bases},
   JOURNAL = {Amer. J. Math.},
  FJOURNAL = {American Journal of Mathematics},
    VOLUME = {112},
      YEAR = {1990},
    NUMBER = {3},
     PAGES = {359--373},
      ISSN = {0002-9327},
     CODEN = {AJMAAN},
   MRCLASS = {11E72 (11E39)},
  MRNUMBER = {1055648 (91h:11030)},
MRREVIEWER = {Rudolf Scharlau},
       DOI = {10.2307/2374746},
       URL = {http://dx.doi.org/10.2307/2374746},
}

@book {Scharlau,
    AUTHOR = {Scharlau, Winfried},
     TITLE = {Quadratic and {H}ermitian forms},
    SERIES = {Grundlehren der Mathematischen Wissenschaften [Fundamental
              Principles of Mathematical Sciences]},
    VOLUME = {270},
 PUBLISHER = {Springer-Verlag},
   ADDRESS = {Berlin},
      YEAR = {1985},
     PAGES = {x+421},
      ISBN = {3-540-13724-6},
   MRCLASS = {11Exx (11-02 12D15 15A63 16A16 16A28)},
  MRNUMBER = {770063 (86k:11022)},
MRREVIEWER = {R. Ware},
}

@book {Lam,
    AUTHOR = {Lam, Tsit-Yuen},
     TITLE = {Introduction to quadratic forms over fields},
    SERIES = {Graduate Studies in Mathematics},
    VOLUME = {67},
 PUBLISHER = {American Mathematical Society},
   ADDRESS = {Providence, RI},
      YEAR = {2005},
     PAGES = {xxii+550},
      ISBN = {0-8218-1095-2},
   MRCLASS = {11Exx},
  MRNUMBER = {2104929 (2005h:11075)},
MRREVIEWER = {K. Szymiczek},
}

@preamble{
   "\def\cprime{$'$} "
}
@article {MerkurjevNP,
    AUTHOR = {Merkur{\cprime}ev, A. S.},
     TITLE = {The norm principle for algebraic groups},
   JOURNAL = {Algebra i Analiz},
  FJOURNAL = {Rossi\u\i skaya Akademiya Nauk. Algebra i Analiz},
    VOLUME = {7},
      YEAR = {1995},
    NUMBER = {2},
     PAGES = {77--105},
      ISSN = {0234-0852},
   MRCLASS = {20G15},
  MRNUMBER = {1347513 (96k:20088)},
MRREVIEWER = {Vladimir I. Chernousov},
}

@article {GilleNP,
    AUTHOR = {Gille, Philippe},
     TITLE = {{$R$}-\'equivalence et principe de norme en cohomologie
              galoisienne},
   JOURNAL = {C. R. Acad. Sci. Paris S\'er. I Math.},
  FJOURNAL = {Comptes Rendus de l'Acad\'emie des Sciences. S\'erie I.
              Math\'ematique},
    VOLUME = {316},
      YEAR = {1993},
    NUMBER = {4},
     PAGES = {315--320},
      ISSN = {0764-4442},
     CODEN = {CASMEI},
   MRCLASS = {12G05},
  MRNUMBER = {1204296 (94a:12010)},
}

@book {Humphreys,
    AUTHOR = {Humphreys, James E.},
     TITLE = {Introduction to {L}ie algebras and representation theory},
    SERIES = {Graduate Texts in Mathematics},
    VOLUME = {9},
      NOTE = {Second printing, revised},
 PUBLISHER = {Springer-Verlag},
   ADDRESS = {New York},
      YEAR = {1978},
     PAGES = {xii+171},
      ISBN = {0-387-90053-5},
   MRCLASS = {17Bxx},
  MRNUMBER = {499562 (81b:17007)},
MRREVIEWER = {I. P. Shestakov},
}

@article {Weil,
    AUTHOR = {Weil, Andr{\'e}},
     TITLE = {Algebras with involutions and the classical groups},
   JOURNAL = {J. Indian Math. Soc. (N.S.)},
    VOLUME = {24},
      YEAR = {1960},
     PAGES = {589--623 (1961)},
   MRCLASS = {22.50 (16.46)},
  MRNUMBER = {0136682 (25 \#147)},
MRREVIEWER = {J. Dieudonn{\'e}},
}

@book {SerreGC,
    AUTHOR = {Serre, Jean-Pierre},
     TITLE = {Galois cohomology},
    SERIES = {Springer Monographs in Mathematics},
   EDITION = {English},
      NOTE = {Translated from the French by Patrick Ion and revised by the
              author},
 PUBLISHER = {Springer-Verlag},
   ADDRESS = {Berlin},
      YEAR = {2002},
     PAGES = {x+210},
      ISBN = {3-540-42192-0},
   MRCLASS = {12G05 (11R34)},
  MRNUMBER = {1867431 (2002i:12004)},
}

@book {Knus,
    AUTHOR = {Knus, Max-Albert},
     TITLE = {Quadratic and {H}ermitian forms over rings},
    SERIES = {Grundlehren der Mathematischen Wissenschaften [Fundamental
              Principles of Mathematical Sciences]},
    VOLUME = {294},
      NOTE = {With a foreword by I. Bertuccioni},
 PUBLISHER = {Springer-Verlag},
   ADDRESS = {Berlin},
      YEAR = {1991},
     PAGES = {xii+524},
      ISBN = {3-540-52117-8},
   MRCLASS = {11Exx (11E39 11E81 16E20 19Gxx)},
  MRNUMBER = {1096299 (92i:11039)},
MRREVIEWER = {Rudolf Scharlau},
}

@book {Kneser,
    AUTHOR = {Kneser, M.},
     TITLE = {Lectures on {G}alois cohomology of classical groups},
      NOTE = {With an appendix by T. A. Springer,
              Notes by P. Jothilingam,
              Tata Institute of Fundamental Research Lectures on
              Mathematics, No. 47},
 PUBLISHER = {Tata Institute of Fundamental Research},
   ADDRESS = {Bombay},
      YEAR = {1969},
     PAGES = {ii+158},
   MRCLASS = {20G10 (12A60)},
  MRNUMBER = {0340440 (49 \#5195)},
MRREVIEWER = {R. Steinberg},
}			

@article {Chernousov,
    AUTHOR = {Chernousov, Vladimir},
     TITLE = {The kernel of the {R}ost invariant, {S}erre's conjecture {II}
              and the {H}asse principle for quasi-split groups {${}^{3,6}D_4,E_6,E_7$}},
   JOURNAL = {Math. Ann.},
  FJOURNAL = {Mathematische Annalen},
    VOLUME = {326},
      YEAR = {2003},
    NUMBER = {2},
     PAGES = {297--330},
      ISSN = {0025-5831},
     CODEN = {MAANA},
   MRCLASS = {20G10 (11E72)},
  MRNUMBER = {1990912 (2004e:20079)},
MRREVIEWER = {Philippe Gille},
       DOI = {10.1007/s00208-003-0417-x},
       URL = {http://dx.doi.org/10.1007/s00208-003-0417-x},
}	

@article {ChernousovHasse,
    AUTHOR = {Chernousov, V. I.},
     TITLE = {The {H}asse principle for groups of type {$E_8$}},
   JOURNAL = {Dokl. Akad. Nauk SSSR},
  FJOURNAL = {Doklady Akademii Nauk SSSR},
    VOLUME = {306},
      YEAR = {1989},
    NUMBER = {5},
     PAGES = {1059--1063},
      ISSN = {0002-3264},
   MRCLASS = {11E72 (20G10)},
  MRNUMBER = {1014762 (90m:11055)},
MRREVIEWER = {J. S. Joel},
}



@article {Skip,
    AUTHOR = {Garibaldi, Ryan Skip},
     TITLE = {The {R}ost invariant has trivial kernel for quasi-split groups
              of low rank},
   JOURNAL = {Comment. Math. Helv.},
  FJOURNAL = {Commentarii Mathematici Helvetici},
    VOLUME = {76},
      YEAR = {2001},
    NUMBER = {4},
     PAGES = {684--711},
      ISSN = {0010-2571},
     CODEN = {COMHAX},
   MRCLASS = {20G10 (17B25)},
  MRNUMBER = {1881703 (2003g:20079)},
MRREVIEWER = {Kevin P. Knudson},
       DOI = {10.1007/s00014-001-8325-8},
       URL = {http://dx.doi.org/10.1007/s00014-001-8325-8},
}

@article {Serre,
    AUTHOR = {Serre, Jean-Pierre},
     TITLE = {Cohomologie galoisienne: progr\`es et probl\`emes},
      NOTE = {S{\'e}minaire Bourbaki, Vol. 1993/94},
   JOURNAL = {Ast\'erisque},
  FJOURNAL = {Ast\'erisque},
    NUMBER = {227},
      YEAR = {1995},
     PAGES = {Exp.\ No.\ 783, 4, 229--257},
      ISSN = {0303-1179},
   MRCLASS = {11E72 (11D99 12G05)},
  MRNUMBER = {1321649 (97d:11063)},
}		

@article {Sansuc,
    AUTHOR = {Sansuc, J.-J.},
     TITLE = {Groupe de {B}rauer et arithm\'etique des groupes alg\'ebriques
              lin\'eaires sur un corps de nombres},
   JOURNAL = {J. Reine Angew. Math.},
  FJOURNAL = {Journal f\"ur die Reine und Angewandte Mathematik},
    VOLUME = {327},
      YEAR = {1981},
     PAGES = {12--80},
      ISSN = {0075-4102},
     CODEN = {JRMAA8},
   MRCLASS = {12G05 (10C30 14G25 20G30 20G35)},
  MRNUMBER = {631309 (83d:12010)},
MRREVIEWER = {David Goss},
       DOI = {10.1515/crll.1981.327.12},
       URL = {http://dx.doi.org/10.1515/crll.1981.327.12},
}
		

@article {Rostmod3,
    AUTHOR = {Rost, Markus},
     TITLE = {A {$({\rm mod}\; 3)$} invariant for exceptional {J}ordan
              algebras},
   JOURNAL = {C. R. Acad. Sci. Paris S\'er. I Math.},
  FJOURNAL = {Comptes Rendus de l'Acad\'emie des Sciences. S\'erie I.
              Math\'ematique},
    VOLUME = {313},
      YEAR = {1991},
    NUMBER = {12},
     PAGES = {823--827},
      ISSN = {0764-4442},
     CODEN = {CASMEI},
   MRCLASS = {19D45 (17C40)},
  MRNUMBER = {1138557 (92j:19002)},
}		


@article {Springer,
    AUTHOR = {Springer, Tonny Albert},
     TITLE = {Sur les formes quadratiques d'indice z\'ero},
   JOURNAL = {C. R. Acad. Sci. Paris},
    VOLUME = {234},
      YEAR = {1952},
     PAGES = {1517--1519},
   MRCLASS = {09.1X},
  MRNUMBER = {0047021 (13,815j)},
MRREVIEWER = {W. H. Durfee},
}


@article {Scharlau2,
    AUTHOR = {Scharlau, Winfried},
     TITLE = {Induction theorems and the structure of the {W}itt group},
   JOURNAL = {Invent. Math.},
  FJOURNAL = {Inventiones Mathematicae},
    VOLUME = {11},
      YEAR = {1970},
     PAGES = {37--44},
      ISSN = {0020-9910},
   MRCLASS = {10C05 (16A54 20C30)},
  MRNUMBER = {0292752 (45 \#1834)},
MRREVIEWER = {J. S. Hsia},
}

@article {BayerPariHasse,
    AUTHOR = {Bayer-Fluckiger, Eva and Parimala, Raman},
     TITLE = {Classical groups and the {H}asse principle},
   JOURNAL = {Ann. of Math. (2)},
  FJOURNAL = {Annals of Mathematics. Second Series},
    VOLUME = {147},
      YEAR = {1998},
    NUMBER = {3},
     PAGES = {651--693},
      ISSN = {0003-486X},
     CODEN = {ANMAAH},
   MRCLASS = {11E72 (11E57 20G10)},
  MRNUMBER = {1637659 (99g:11055)},
MRREVIEWER = {Adrian R. Wadsworth},
       DOI = {10.2307/120961},
       URL = {http://dx.doi.org/10.2307/120961},
}

@article{KneserHasse,
   author={Kneser, Martin},
   title={Hasse principle for $H^{1}$ of simply connected groups},
   conference={
      title={Algebraic Groups and Discontinuous Subgroups (Proc. Sympos.
      Pure Math., Boulder, Colo., 1965)},
   },
   book={
      publisher={Amer. Math. Soc.},
      place={Providence, R.I.},
   },
   year={1966},
   pages={159--163},
   review={\MR{0220736 (36 \#3788)}},
}

@article {HarderHasse,
    AUTHOR = {Harder, G{\"u}nter},
     TITLE = {\"{U}ber die {G}aloiskohomologie halbeinfacher
              {M}atrizengruppen. {II}},
   JOURNAL = {Math. Z.},
  FJOURNAL = {Mathematische Zeitschrift},
    VOLUME = {92},
      YEAR = {1966},
     PAGES = {396--415},
      ISSN = {0025-5874},
   MRCLASS = {14.50},
  MRNUMBER = {0202918 (34 \#2777)},
MRREVIEWER = {R. Steinberg},
}

@article{KneserSchwache,
AUTHOR = {Kneser, Martin},
     TITLE = {Schwache Approximation in Algebraischen Gruppen},
   conference={
      title={Colloque Sur La Theorie Des Groupes Algebriques (CBRM, 1962)},
   },
year =1962   
pages={41-52}
}

@book {PlatonovRapinchuk,
    AUTHOR = {Platonov, Vladimir and Rapinchuk, Andrei},
     TITLE = {Algebraic groups and number theory},
    SERIES = {Pure and Applied Mathematics},
    VOLUME = {139},
      NOTE = {Translated from the 1991 Russian original by Rachel Rowen},
 PUBLISHER = {Academic Press Inc.},
   ADDRESS = {Boston, MA},
      YEAR = {1994},
     PAGES = {xii+614},
      ISBN = {0-12-558180-7},
   MRCLASS = {11E57 (11-02 20Gxx)},
  MRNUMBER = {1278263 (95b:11039)},
}