Local-to-Global Principle in Symmetric Groups Restricted; Files Only

Lu, Yitong (Spring 2019)

Permanent URL: https://etd.library.emory.edu/concern/etds/b8515p47f?locale=en
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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

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