Direct products of finite groups as unions of proper subgroups.

DOI10.1007/s00013-010-0155-8zbMath1223.20018arXiv1211.5346OpenAlexW2043678201MaRDI QIDQ707536

Andrea Lucchini, Martino Garonzi

Publication date: 8 October 2010

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1211.5346

zbMATH Keywords

finite groupsmaximal subgroupsdirect productsunions of subgroupsminimal covers

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Series and lattices of subgroups (20D30)

Related Items

On the covering number of symmetric groups having degree divisible by six. ⋮ Factorizing a finite group into conjugates of a subgroup. ⋮ Covers and normal covers of finite groups.

Cites Work

• Groups as the union of proper subgroups.
• On Abelian Quotients of Primitive Groups
• On $n$-Sum Groups.
• Classes of Finite Groups
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