A note on minimal coverings of groups by subgroups

DOI10.1017/S1446788700002809zbMath0997.20034OpenAlexW1976294388MaRDI QIDQ2765547

R. A. Bryce, Luigi Serena

Publication date: 7 August 2002

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s1446788700002809

zbMATH Keywords

soluble groupsmaximal subgroupsunions of subgroupsminimal coversAbelian coversnilpotent covers

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Subgroup theorems; subgroup growth (20E07) Maximal subgroups (20E28) Solvable groups, supersolvable groups (20F16) Chains and lattices of subgroups, subnormal subgroups (20E15)

Related Items (7)

Groups with a Maximal Irredundant 6-Cover ⋮ A Note on the σ-Covers of Finite Soluble Groups ⋮ The solvability of groups with nilpotent minimal coverings. ⋮ Subgroup coverings of some sporadic groups. ⋮ Maximal covers of finite groups ⋮ Irredundant and Minimal Covers of Finite Groups ⋮ A Note on Maximal Coverings of Groups

Cites Work

• Unnamed Item
• Die Nilpotenz der \(H_ p\)-Gruppen
• On a finite group with a partition
• Finite soluble groups
• Representations of the hyperoctahedral groups
• Groups as the union of proper subgroups.
• On $n$-Sum Groups.

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