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

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

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