The intersection of subgroups of finite \(p\)-groups.

DOI10.1007/S00013-010-0194-1zbMath1258.20016OpenAlexW2015246773MaRDI QIDQ623434

Qinhai Zhang, Junjun Wei

Publication date: 14 February 2011

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

Full work available at URL: https://doi.org/10.1007/s00013-010-0194-1

zbMATH Keywords

maximal subgroupsfinite \(p\)-groupsmetacyclic \(p\)-groupsintersections of subgroupsinner Abelian \(p\)-groups

Mathematics Subject Classification ID

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

Related Items (1)

Finite 2-groups whose number of subgroups of each order are at most \(2^4\)

Uses Software

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Cites Work

• A theorem on metabelian p-groups and some consequences
• Groups of prime power order. Vol. 1.
• The Magma algebra system. I: The user language
• Generalizations of Certain Elementary Theorems on p -Groups
• Endliche Gruppen I
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