A Classification of Certain Maximal Subgroups of Alternating Groups

被引：0

作者：

Benesh, Bret ^{[1
]}

机构：

[1] Harvard Univ, Dept Math, Cambridge, MA 02138 USA

来源：

COMPUTATIONAL GROUP THEORY AND THE THEORY OF GROUPS | 2008年 / 470卷

关键词：

symmetric group; permutation groups; maximal subgroups;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper addresses an extension of Problem 12.82 of the Kourovka notebook, which asks for all ordered pairs (n, m) such that the symmetric group S-n embeds in S-m as a maximal subgroup. Problem 12.82 was answered in a previous paper by the author and Benjamin Newton. In this paper, we will consider the extension problem where we allow either or both of the groups from the ordered pair to be an alternating group.

引用

页码：21 / 26

页数：6

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