Several Results on Conjugacy Class Sizes of Some Elements of Finite Groups | Zendy

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Several 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.

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