Subgroup coverings of some sporadic groups.

DOI10.1016/j.jcta.2005.09.006zbMath1101.20013OpenAlexW2073226759MaRDI QIDQ2500626

Petra E. Holmes

Publication date: 17 August 2006

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcta.2005.09.006

zbMATH Keywords

sporadic simple groupssubgroup coverings of minimal cardinality

Mathematics Subject Classification ID

Simple groups: sporadic groups (20D08) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Series and lattices of subgroups (20D30)

Related Items

On the covering number of symmetric groups having degree divisible by six., On the covering number of small symmetric groups and some sporadic simple groups., SOME REMARKS ON GROUPS WITH NILPOTENT MINIMAL COVERS, On Integers that are Covering Numbers of Groups, Unnamed Item, The covering numbers of rings, Sets of elements that pairwise generate a linear group, A new infinite family of σ -elementary rings, The solvability of groups with nilpotent minimal coverings., Covering the symmetric groups with proper subgroups., Pairwise generating and covering sporadic simple groups., Maximal Subrings and Covering Numbers of Finite Semisimple Rings, ON MINIMAL SUBGROUP COVERINGS OF SOME AFFINE PRIMITIVE PERMUTATION GROUPS

Uses Software

• GAP

Cites Work

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• Covering subgroups of groups and Kronecker classes of fields
• Covering the symmetric groups with proper subgroups.
• A note on minimal coverings of groups by subgroups
• Groups as the union of proper subgroups.
• Subgroup coverings of some linear groups
• On $n$-Sum Groups.