Local-to-Global Principle in Symmetric Groups Open Access

Abstract

Let G be a Symmetric Group Sn, B be Sn−1 and H be a transitive subgroup of G. If for ∀h ∈ H, there exist g ∈ G and b ∈ B s.t. ghg−1 = b, then we can find a specific g ∈ G s.t. gHg−1 ⊆ B

Table of Contents

1.Introduction Page1

2.Local-to-global relation in Sn Page1

3.Cases when B = Sn−1 Page3

About this Honors Thesis

Rights statement

• Permission granted by the author to include this thesis or dissertation in this repository. All rights reserved by the author. Please contact the author for information regarding the reproduction and use of this thesis or dissertation.

School	Emory College
Department	Mathematics
Degree	B.S.
Submission	Honors Thesis
Language	English
Research Field	Mathematics
Keyword	Conjugation Group Theory Symmetric Groups
Committee Chair / Thesis Advisor	David Zureick-Brown, Emory University
Committee Members	Shanshuang Yang, Emory University Eric Reinders, Emory University

Last modified

Primary PDF

Thumbnail	Title	Date Uploaded	Actions
	Local-to-Global Principle in Symmetric Groups ()	2019-05-09 10:07:39 -0400	Press to Select an action Download

Supplemental Files

Thumbnail	Title	Date Uploaded	Actions