A note on minimal coverings of groups by subgroups

被引：8

作者：

Bryce, RA ^{[1
]}

Serena, L

机构：

[1] Australian Natl Univ, Sch Math Sci, Canberra, ACT 0200, Australia

[2] Univ Florence, Dipartimento Matemat & Applicaz Architettura, I-50122 Florence, Italy

来源：

JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS | 2001年 / 71卷

关键词：

D O I：

10.1017/S1446788700002809

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A cover for a group is a finite set of subgroups whose union is the whole group. A cover is minimal if its cardinality is minimal. Minimal covers of finite soluble groups are categorised; in particular all but at most one of their members are maximal subgroups. A characterisation is given of groups with minimal covers consisting of abelian subgroups.

引用

页码：159 / 168

页数：10

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