ON THE NUMBER OF CYCLIC SUBGROUPS OF A FINITE GROUP

被引：12

作者：

Jafari, Mohammad Hossein ^{[1
]}

Madadi, Ali Reza ^{[1
]}

机构：

[1] Univ Tabriz, Fac Math Sci, Dept Pure Math, Tabriz 5166616471, Iran

来源：

BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | 2017年 / 54卷 / 06期

关键词：

cyclic subgroups; Sylow subgroups; arithmetic functions;

D O I：

10.4134/BKMS.b160783

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let G be a finite group and m a divisor of broken vertical bar G broken vertical bar. We prove that G has at least T(m) cyclic subgroups whose orders divide m, where T(m) is the number of divisors of m.

引用

页码：2141 / 2147

页数：7

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