On the structure of finite groups with the given numbers of involutions

被引：0

作者：

Ahanjideh, N. ^{[1
]}

Ghasemabadi, M. Foroudi ^{[2
]}

机构：

[1] Shahrekord Univ, Dept Math, Shahrekord, Iran

[2] Tarbiat Modares Univ, Dept Math, Tehran, Iran

来源：

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS | 2015年 / 44卷 / 01期

关键词：

Involution; classification of finite groups with;

D O I：

10.15672/HJMS.2015449083

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let G be a finite non-solvable group. In this paper, we show that if 1/8 of elements of G have order two, then G is either a simple group isomorphic to PSL2(q), where q is an element of {7, 8, 9} or G congruent to GL(2)(4).Z(2). In fact in this paper, we answer Problem 132 in [1].

引用

页码：15 / 22

页数：8

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