SOME REMARKS ON GROUPS WITH NILPOTENT MINIMAL COVERS

DOI10.1017/S1446788708000670zbMath1177.20035MaRDI QIDQ5322928

R. A. Bryce, Luigi Serena

Publication date: 23 July 2009

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

zbMATH Keywords

partitions of groupsunions of subgroupsalmost simple groupsminimal coverscovers of groupscoverings of finite groupscovered groups

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Series and lattices of subgroups (20D30) Finite nilpotent groups, (p)-groups (20D15)

Related Items (1)

The solvability of groups with nilpotent minimal coverings.

Cites Work

• Covering the symmetric groups with proper subgroups.
• Sets of elements that pairwise generate a linear group
• Subgroup coverings of some sporadic groups.
• The Sylow 2-subgroups of the finite classical groups
• The Maximal Subgroups of the Thompson Group
• ABSTRACT PROPERTIES OF THE SIMPLE SPORADIC GROUPS
• Groups as the union of proper subgroups.
• On $n$-Sum Groups.
• On a class of doubly transitive groups

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