Equal quasi-partition of \(p\)-groups.

DOI10.1007/S00025-013-0308-8zbMath1276.20020OpenAlexW1997175836MaRDI QIDQ370823

Risto Atanasov, Andrew Penland, Tuval Foguel

Publication date: 19 September 2013

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-013-0308-8

zbMATH Keywords

maximal subgroupsfinite \(p\)-groupsunions of subgroupscoverings of groupsequal quasi-partitionspartitions of groups by subgroups

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Maximal subgroups (20E28) Special subgroups (Frattini, Fitting, etc.) (20D25) Series and lattices of subgroups (20D30) Finite nilpotent groups, (p)-groups (20D15)

Uses Software

• GAP

Cites Work

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• Partitionen endlicher Gruppen
• On a finite group with a partition
• Partitions and other coverings of finite groups.
• Sulle S-partizioni di un gruppo finito
• Equally partitioned groups
• Nicht-einfache Partitionen endlicher Gruppen
• Groups as the union of proper subgroups.
• On $n$-Sum Groups.
• FINITE GROUPS THAT ARE THE UNION OF AT MOST 25 PROPER SUBGROUPS
• Groups Covered By Permutable Subsets

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