Computing maximal subgroups of finite groups

被引：24

作者：

Cannon, J

Holt, DF ^{[1
]}

机构：

[1] Univ Warwick, Inst Math, Coventry CV4 7AL, W Midlands, England

[2] Univ Sydney, Sch Math, Sydney, NSW 2006, Australia

来源：

JOURNAL OF SYMBOLIC COMPUTATION | 2004年 / 37卷 / 05期

关键词：

MAGMA;

D O I：

10.1016/j.jsc.2003.08.002

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

We describe a practical algorithm for computing representatives of the conjugacy classes of maximal subgroups in a finite group, together with details of its implementation for permutation groups in the MAGMA system. We also describe methods for computing complements of normal subgroups and minimal supplements of normal soluble subgroups of finite groups. (C) 2003 Elsevier Ltd. All rights reserved.

引用

页码：589 / 609

页数：21

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