On the Number of Maximal Subgroups and Theta Pairs in a Finite Group

被引:0
|
作者
Ashrafi, Ali R. [1 ]
Iranmanesh, Ali [2 ]
机构
[1] Univ Kashan, Dept Math, Kashan 8731751167, Iran
[2] Tarbiat Modares Univ, Dept Math, Tehran 14115137, Iran
关键词
finite group; theta pair; maximal subgroup;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Let M be a maximal subgroup of a finite group G. The pair (A, B) of subgroups of G is called a.-pair of M if the following conditions hold: (a) B (sic) G, B < A, (b) < M, A >= G and B <= M and (c) A/B has no proper normal subgroup of G/B. In this paper, we investigate the structure of a finite group G according to the number of its maximal subgroups and theta-pairs.
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页码:7 / 12
页数:6
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