The Commutativity Degree in the Class of Nonabelian Groups of Same Order

被引：1
|
作者：
Rostami, Hojjat [1 ]
机构：
[1] Molla Sadra Teaching & Training Res Ctr, Dept Educ, Zanjan 13858899, Iran
来源：
KYUNGPOOK MATHEMATICAL JOURNAL | 2019年 / 59卷 / 02期
关键词：
finite group; commutativity degree; nonnilpotent; PROBABILITY; ELEMENTS;
D O I：
10.5666/KMJ.2019.59.2.203
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. In this paper we give a sharp upper bound of commutativity degree of nonabelial groups in terms of their order.
引用
收藏
页码：203 / 207
页数：5
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