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
收藏
页码：453 / 459
页数：7
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