Open AccessSeveral Results on Conjugacy Class Sizes of Some Elements of Finite Groups
Author(s) -
Yongcai Ren
Publication year - 2021
Publication title -
wseas transactions on mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.211
H-Index - 21
eISSN - 2224-2880
pISSN - 1109-2769
DOI - 10.37394/23206.2021.20.37
Subject(s) - conjugacy class , mathematics , class (philosophy) , simple (philosophy) , pure mathematics , group (periodic table) , finite group , classification of finite simple groups , element (criminal law) , combinatorics , group theory , group of lie type , computer science , physics , philosophy , epistemology , quantum mechanics , artificial intelligence , political science , law
Let G be a finite group. For an element x of G, xG denotes the conjugacy class of x in G. |xG| is called the size of the conjugacy class xG. In this paper, we establish several results on conjugacy class sizes of some elements of finite groups. In addition, we give a simple and clearer proof of a known result.