On the covering number of \(S_{14}\)

DOI10.2140/involve.2019.12.89zbMath1402.20039OpenAlexW2807946404MaRDI QIDQ1639615

Eric Swartz, Ryan Oppenheim

Publication date: 13 June 2018

Published in: Involve (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/involve.2019.12.89

zbMATH Keywords

symmetric groupsfinite union of proper subgroupssubgroup covering

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Software, source code, etc. for problems pertaining to group theory (20-04) Symmetric groups (20B30)

Related Items (3)

On Integers that are Covering Numbers of Groups ⋮ On the primary coverings of finite solvable and symmetric groups ⋮ On the maximal number of elements pairwise generating the symmetric group of even degree

Cites Work

• On the covering number of small symmetric groups and some sporadic simple groups.
• Sets of permutations that generate the symmetric group pairwise.
• Pairwise generating and covering sporadic simple groups.
• Covering the symmetric groups with proper subgroups.
• On the covering number of symmetric groups having degree divisible by six.
• Groups as the union of proper subgroups.
• FINITE GROUPS THAT ARE THE UNION OF AT MOST 25 PROPER SUBGROUPS
• Groups Covered By Permutable Subsets

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