On Integers that are Covering Numbers of Groups

DOI10.1080/10586458.2019.1636425OpenAlexW2963927041WikidataQ127480790 ScholiaQ127480790MaRDI QIDQ5094477

Luise-Charlotte Kappe, Eric Swartz, Martino Garonzi

Publication date: 3 August 2022

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.09047

zbMATH Keywords

covering numberprimitive groupsubgroup cover

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Primitive groups (20B15)

Related Items

Finite coverings of semigroups and related structures, Countably coverable rings, Covering the set of \(p\)-elements in finite groups by Sylow \(p\)-subgroups, The covering numbers of rings, Groups with semi-partitions, A new infinite family of σ -elementary rings

Uses Software

• GAP

Cites Work

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• On the covering number of small symmetric groups and some sporadic simple groups.
• On the Dirichlet polynomial of finite groups of Lie type.
• Sets of permutations that generate the symmetric group pairwise.
• On finite simple groups and Kneser graphs.
• Pairwise generating and covering sporadic simple groups.
• Linear groups containing a Singer cycle
• Maximal Frattini extensions
• Crowns and factorization of the probabilistic zeta function of a finite group.
• On the covering number of \(S_{14}\)
• Covering the symmetric groups with proper subgroups.
• Sets of elements that pairwise generate a linear group
• Corrigendum to ``Sets of elements that pairwise generate a linear group [J. Comb. Theory, Ser. A 115, No.\,3, 442--465 (2008)]
• The symmetric group of degree six can be covered by 13 and no fewer proper subgroups.
• Subgroup coverings of some sporadic groups.
• On the covering number of symmetric groups having degree divisible by six.
• The Maximal Subgroups of the Low-Dimensional Finite Classical Groups
• ON MINIMAL SUBGROUP COVERINGS OF SOME AFFINE PRIMITIVE PERMUTATION GROUPS
• Groups as the union of proper subgroups.
• Subgroup coverings of some linear groups
• On $n$-Sum Groups.
• Covering Certain Monolithic Groups with Proper Subgroups
• FINITE GROUPS THAT ARE THE UNION OF AT MOST 25 PROPER SUBGROUPS
• Classes of Finite Groups
• Groups Covered By Permutable Subsets