CONJUGACY CLASS SIZES AND n-TH COMMUTATIVITY DEGREES OF SOME FINITE GROUPS

被引：1

作者：

Moradipour, Kayvan ^{[1
]}

机构：

[1] Tech & Vocat Univ, Lorestan Branch, Fac Khorramabad, Dept Math, Khorramabad, Iran

来源：

COMPTES RENDUS DE L ACADEMIE BULGARE DES SCIENCES | 2018年 / 71卷 / 04期

关键词：

centralizer; commutativity degree; metacyclic group; METACYCLIC P-GROUPS; CENTRALIZERS; NUMBER;

D O I：

10.7546/CRABS.2018.04.02

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

Let G be a nonabelian metacyclic p-group where p is an odd prime number. In this paper, we obtain the size of centralizers and conjugacy classes of G. As application, we find explicit formulas for the n-th commutativity degree of the group G.

引用

页码：453 / 459

页数：7

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