The symmetric group of degree six can be covered by 13 and no fewer proper subgroups.

zbMath1132.20002MaRDI QIDQ2470863

Yanyan Li

Publication date: 15 February 2008

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/53819

zbMATH Keywords

symmetric groupscoversunions of subgroupscovering groups by subgroups

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Series and lattices of subgroups (20D30) Symmetric groups (20B30) Subgroups of symmetric groups (20B35)

Related Items (5)

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. ⋮ On the covering number of loops ⋮ On Integers that are Covering Numbers of Groups ⋮ On the maximal number of elements pairwise generating the symmetric group of even degree

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• GAP

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