On the influence of conjugacy class in finite groups

Abstract

In this thesis we show some results about index of an element We first show results about elements of prime-power indices which include simplicity the existence of normal p-complements and sufficient conditions for an element to have prime-power index Next we give some examples of groups such that elements of prime-power order have prime-power indices and q-Baer groups The last part we show some results that the indices of elements in a group can imply the solubility of it

Date of Award	2019
Original language	English
Supervisor	Shih-Chang Huang (Supervisor)