A note on minimal coverings of groups by subgroups

R. A. Bryce; L. Serena

doi:10.1017/s1446788700002809

A note on minimal coverings of groups by subgroups

R. A. Bryce^*, L. Serena

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

8 Citations (Scopus)

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.

Original language	English
Pages (from-to)	159-168
Number of pages	10
Journal	Journal of the Australian Mathematical Society
Volume	71
Issue number	2
DOIs	https://doi.org/10.1017/s1446788700002809
Publication status	Published - Oct 2001

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A note on minimal coverings of groups by subgroups

Abstract

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