A note on the commutativity of groups

被引：0

作者：

Beddani, Charef ^{[1
]}

Alrehaili, Suad ^{[1
,2
]}

机构：

[1] Taibah Univ, Coll Sci, Dept Math, Madinah, Saudi Arabia

[2] Univ Teknol Malaysia, Fac Sci, Dept Math Sci, Johor Baharu, Malaysia

来源：

COMMUNICATIONS IN ALGEBRA | 2019年 / 47卷 / 10期

关键词：

Abelian groups; commutativity degree; order commutativity degree;

D O I：

10.1080/00927872.2019.1579341

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, we show that a group is abelian if and only if every two elements of the same order commute.

引用

页码：4167 / 4172

页数：6

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