ON GENERALIZED COMMUTATIVITY DEGREE OF A FINITE GROUP

被引：9

作者：

Nath, R. K. ^{[1
]}

Das, A. K. ^{[1
]}

机构：

[1] NE Hill Univ, Dept Math, Shillong 793022, Meghalaya, India

来源：

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2011年 / 41卷 / 06期

关键词：

Finite groups; group characters; commutativity degree; 2 GROUP ELEMENTS; PROBABILITY; COMMUTE;

D O I：

10.1216/RMJ-2011-41-6-1987

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Commutativity degree of a finite group is the probability that the commutator of two arbitrarily chosen group elements equals the identity element of the group. The object of this paper is to study the probability that the generalized commutator of an arbitrarily chosen n-tuple of group elements equals a given group element.

引用

页码：1987 / 2000

页数：14

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