Covering the symmetric groups with proper subgroups.

DOI10.1016/j.jcta.2004.10.003zbMath1066.20004OpenAlexW2044365098MaRDI QIDQ1775548

Attila Maróti

Publication date: 4 May 2005

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.2004.10.003

zbMATH Keywords

symmetric groupsprimitive permutation groupsalternating groupsgraphscycle structureunions of subgroups

Mathematics Subject Classification ID

Partitions of sets (05A18) Asymptotic enumeration (05A16) Symmetric groups (20B30) Subgroups of symmetric groups (20B35)

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On the covering number of symmetric groups having degree divisible by six., On the covering number of \(S_{14}\), On the clique number of the generating graph of a finite group, Sets of permutations that generate the symmetric group pairwise., On the covering number of small symmetric groups and some sporadic simple groups., Covering modules by proper submodules, Generating sets of finite groups, SOME REMARKS ON GROUPS WITH NILPOTENT MINIMAL COVERS, On Integers that are Covering Numbers of Groups, Unnamed Item, Nilpotent covers of symmetric and alternating groups, Covering the set of \(p\)-elements in finite groups by Sylow \(p\)-subgroups, On the maximal number of elements pairwise generating the finite alternating group, The covering numbers of rings, Sets of elements that pairwise generate a linear group, A new infinite family of σ -elementary rings, Normal coverings and pairwise generation of finite alternating and symmetric groups., Covers and normal covers of finite groups., Normal coverings of solvable groups., On the primary coverings of finite solvable and symmetric groups, Covering Certain Monolithic Groups with Proper Subgroups, On finite simple groups and Kneser graphs., FINITE GROUPS THAT ARE THE UNION OF AT MOST 25 PROPER SUBGROUPS, The solvability of groups with nilpotent minimal coverings., Normal coverings of finite symmetric and alternating groups., On the commuting probability in finite groups., Subgroup coverings of some sporadic groups., Maximal Subrings and Covering Numbers of Finite Semisimple Rings, ON MINIMAL SUBGROUP COVERINGS OF SOME AFFINE PRIMITIVE PERMUTATION GROUPS, Maximal covers of finite groups, Covering certain wreath products with proper subgroups, On groups covered by finitely many centralizers and domination number of the commuting graphs, On the maximal number of elements pairwise generating the symmetric group of even degree, A Note on Maximal Coverings of Groups

Uses Software

• GAP

Cites Work

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