Yongcai Ren, "Several Results on Conjugacy Class Sizes of Some Elements of Finite Groups," WSEAS Transactions on Mathematics, vol. 20, pp. 361-367, 2021, DOI:10.37394/23206.2021.20.37
Yongcai Ren. Several Results on Conjugacy Class Sizes of Some Elements of Finite Groups.
WSEAS Transactions on Mathematics. 2021;20:361-367. 10.37394/23206.2021.20.37
WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 20, 2021
Several Results on Conjugacy Class Sizes of Some Elements of Finite Groups
Author:
Abstract: Let G be a finite group. For an element x of G, x<sup>G</sup> denotes the conjugacy class of x in G. |x<sup>G</sup>| is called the size of the conjugacy class x<sup>G</sup>. 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.
Keywords:
Conjugacy class sizes, Finite groups, Conjugacy class size, Primary element, Quasi-Frobenius group
Pages: 361-367 WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 20, 2021, Art. #37 DOI: 10.37394/23206.2021.20.37
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