Irredundant and Minimal Covers of Finite Groups

DOI10.1080/00927872.2015.1027383zbMath1352.20022arXiv1412.6275OpenAlexW2963525351MaRDI QIDQ2810637

Martino Garonzi, Andrea Lucchini

Publication date: 3 June 2016

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.6275

zbMATH Keywords

finite groupminimal covermaximal cyclic subgroupirredundant cover

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Subgroup theorems; subgroup growth (20E07) Maximal subgroups (20E28) Chains and lattices of subgroups, subnormal subgroups (20E15)

Related Items (6)

On the covering number of symmetric groups having degree divisible by six. ⋮ Group algebra of characteristic 1 and invariant distances over a finite group ⋮ Covering modules by proper submodules ⋮ Group partitions of minimal size ⋮ Complete decomposition of the generalized quaternion groups ⋮ Maximal covers of finite groups

Cites Work

• A note on minimal coverings of groups by subgroups
• A Note on Maximal Coverings of Groups
• Groups as the union of proper subgroups.

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