The Precise Value of Commutativity Degree in Some Finite Groups

被引：1

作者：

Moradipour, Kayvan ^{[1
]}

Sarmin, Nor Haniza ^{[2
]}

Erfanian, Ahmad ^{[3
,4
]}

机构：

[1] Univ Teknol Malaysia, Fac Sci, Dept Math Sci, Skudai 81310, Malaysia

[2] Univ Teknol Malaysia, Ibnu Sina Inst Fundamental Sci Studies, Dept Math Sci, Skudai 81310, Malaysia

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

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

来源：

MALAYSIAN JOURNAL OF FUNDAMENTAL AND APPLIED SCIENCES | 2012年 / 8卷 / 02期

关键词：

Commutativity degree; Nilpotency class; Conjugacy class; Metacyclic group;

D O I：

10.11113/mjfas.v8n2.125

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：

The commutativity degree of a finite group G, denoted by P (G), is the probability that a selected chosen pair of elements of G commute. The object of this paper is to compute a precise value of commutativity degree of some finite metacyclic P-groups of class at least 3. In particular, we describe the commutativity degree of these groups in split and non-split case.

引用

页码：67 / 72

页数：6

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