The primitive permutation groups of degree 2a•3b

被引:4
|
作者
Li, Xianhua [1 ]
Xu, Mingyao
机构
[1] Suzhou Univ, Dept Math, Suzhou 215006, Peoples R China
[2] Univ Potsdam, Inst Math, D-14469 Potsdam, Germany
[3] Peking Univ, LMAM, Beijing 100871, Peoples R China
[4] Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China
关键词
D O I
10.1007/s00013-005-1494-8
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we give a complete classification of all finite simple groups with maximal subgroups of index n, where n = 2(a)center dot 3b for a, b >= 1. As a consequence, for such n, all primitive permutation groups of degree n are given. The motivation of this work comes also from a study of Cayley graphs of certain valency on a finite simple group.
引用
收藏
页码:385 / 391
页数:7
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