A note on Minimal Coverings of Groups by Subgroups

Bryce, Robert; Serena, L

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A note on Minimal Coverings of Groups by Subgroups

Date

2001

Authors

Bryce, Robert

Serena, L

Publisher

Australian Mathematics Publishing Association

Abstract

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.

URI

http://hdl.handle.net/1885/93383

Collections

Open Access Research

Source

Journal of the Australian Mathematical Society

Type

Journal article

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Cultural advice

A note on Minimal Coverings of Groups by Subgroups

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