Subgroup coverings of some sporadic groups

Petra Elisabeth Holmes

doi:10.1016/j.jcta.2005.09.006

Subgroup coverings of some sporadic groups

Petra Elisabeth Holmes

School of Mathematics and Statistics

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

18 Citations (Scopus)

Abstract

A set of proper subgroups is a covering for a group if their union is the whole group. Determining the size of a smallest covering is an open problem for many simple groups. For some of the sporadic groups, we find subgroup coverings of minimal cardinality. For others we specify the isomorphism types of subgroups in a smallest covering and use graphs to calculate bounds for its size. (c) 2005 Elsevier Inc. All rights reserved.

Original language	English
Pages (from-to)	1204-1213
Number of pages	10
Journal	Journal of Combinatorial Theory, Series A
Volume	113
Issue number	6
DOIs	https://doi.org/10.1016/j.jcta.2005.09.006
Publication status	Published - Aug 2006

Keywords

group theory
sporadic groups
PROPER SUBGROUPS

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10.1016/j.jcta.2005.09.006

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abstract = "A set of proper subgroups is a covering for a group if their union is the whole group. Determining the size of a smallest covering is an open problem for many simple groups. For some of the sporadic groups, we find subgroup coverings of minimal cardinality. For others we specify the isomorphism types of subgroups in a smallest covering and use graphs to calculate bounds for its size. (c) 2005 Elsevier Inc. All rights reserved.",

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AB - A set of proper subgroups is a covering for a group if their union is the whole group. Determining the size of a smallest covering is an open problem for many simple groups. For some of the sporadic groups, we find subgroup coverings of minimal cardinality. For others we specify the isomorphism types of subgroups in a smallest covering and use graphs to calculate bounds for its size. (c) 2005 Elsevier Inc. All rights reserved.

KW - group theory

KW - sporadic groups

KW - PROPER SUBGROUPS

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U2 - 10.1016/j.jcta.2005.09.006

DO - 10.1016/j.jcta.2005.09.006

M3 - Article

VL - 113

SP - 1204

EP - 1213

JO - Journal of Combinatorial Theory, Series A

JF - Journal of Combinatorial Theory, Series A

IS - 6

ER -

Subgroup coverings of some sporadic groups

Abstract

Keywords

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