Subgroup coverings of some linear groups

R. A. Bryce; V. Fedri; L. Serena

doi:10.1017/s0004972700036364

Subgroup coverings of some linear groups

R. A. Bryce, V. Fedri, L. Serena

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

32 Citations (Scopus)

Abstract

A cover for a group is a collection of proper subgroups whose union is the whole group. A cover is minimal if no other cover contains fewer members. We term minimised a minimal cover with the property that substituting for a member of the cover by a proper subgroup of that member produces a collection which is no longer a cover. We here describe the minimised covers for the groups GL₂ (q), SL₂ (q), PSL₂ (q) and PGL₂ (q).

Original language	English
Pages (from-to)	227-238
Number of pages	12
Journal	Bulletin of the Australian Mathematical Society
Volume	60
Issue number	2
DOIs	https://doi.org/10.1017/s0004972700036364
Publication status	Published - Oct 1999

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Subgroup coverings of some linear groups

Abstract

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