Conjugacy classes and commuting probability in finite metacyclic p-groups

被引：8

作者：

Moradipour, K. ^{[1
]}

Sarmin, N. H. ^{[1
,2
]}

Erfanian, A. ^{[3
,4
]}

机构：

[1] Univ Teknol Malaysia, Fac Sci, Dept Math Sci, Utm Johor Bahru 81310, Johor, Malaysia

[2] Univ Teknol Malaysia, Ibnu Sina Inst Fundamental Sci Studies, Utm Johor Bahru 81310, Johor, Malaysia

[3] Ferdowsi Univ Mashhad, Fac Math Sci, Dept Pure Math, Mashhad, Iran

[4] Ferdowsi Univ Mashhad, Ctr Excellence Anal Algebra Struct, Mashhad, Iran

来源：

SCIENCEASIA | 2012年 / 38卷 / 01期

关键词：

split p-group; nilpotency class; commutativity degree; NUMBER;

D O I：

10.2306/scienceasia1513-1874.2012.38.113

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 finite non-abelian metacyclic p-group where p is any prime. We compute the exact number of conjugacy classes and the commutativity degree of C. In particular, we describe the number of conjugacy classes both in the split and non-split case.

引用

页码：113 / 117

页数：5

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