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
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页码：15 / 22
页数：8
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