Conjectures on the normal covering number of the finite symmetric and alternating groups

zbMath1361.20006arXiv1310.2911MaRDI QIDQ5744907

Cheryl E. Praeger, Daniela Bubboloni, Pablo Spiga

Publication date: 10 February 2016

Full work available at URL: https://arxiv.org/abs/1310.2911

zbMATH Keywords

coveringsymmetric groupalternating group

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Partitions; congruences and congruential restrictions (11P83) Symmetric groups (20B30) Subgroups of symmetric groups (20B35)

Related Items (7)

On the covering number of symmetric groups having degree divisible by six. ⋮ Covering a semi-direct product and intersective polynomials ⋮ Affine transformations of finite vector spaces with large orders or few cycles. ⋮ Conjugacy classes of maximal cyclic subgroups ⋮ Intersective \(S_n\) polynomials with few irreducible factors ⋮ Linear bounds for the normal covering number of the symmetric and alternating groups ⋮ On the indices of maximal subgroups and the normal primary coverings of finite groups

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