On the number of conjugacy classes in finite groups

  • 江 修毅

Student thesis: Doctoral Thesis

Abstract

In this thesis we study the relation between the number of conjugacy classes of a finite group and its order In particular we are interested in the bounds for its order by the number of conjugacy classes We will discuss the lower bounds and upper bounds for the number of conjugacy classes separately for the finite groups and further various classes of finite groups At last we obtain a possible upper bound for the number of conjugacy classes of symmetric groups
Date of Award2019
Original languageEnglish
SupervisorShih-Chang Huang (Supervisor)

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