COMMUTATIVITY DEGREE OF A CLASS OF FINITE GROUPS AND CONSEQUENCES

被引：9
|
作者：
Nath, Rajat Kanti [1 ]
机构：
[1] Tezpur Univ, Dept Math Sci, Sonitpur 784028, Assam, India
来源：
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2013年 / 88卷 / 03期
关键词：
finite groups; commutativity degree;
D O I：
10.1017/S0004972712001086
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The commutativity degree of a finite group is the probability that two randomly chosen group elements commute. The object of this paper is to compute the commutativity degree of a class of finite groups obtained by semidirect product of two finite abelian groups. As a byproduct of our result, we provide an affirmative answer to an open question posed by Lescot.
引用
收藏
页码：448 / 452
页数：5
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