Finite nonabelian \(p\)-groups all of whose nonabelian maximal subgroups are either metacyclic or minimal nonabelian.

DOI10.1007/S00013-010-0213-2zbMath1221.20010OpenAlexW2061858946MaRDI QIDQ633170

Zvonimir Janko

Publication date: 31 March 2011

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

Full work available at URL: https://doi.org/10.1007/s00013-010-0213-2

zbMATH Keywords

maximal subgroupsfinite \(p\)-groupsmetacyclic \(p\)-groupsFrattini subgroupminimal nonabelian \(p\)-groups

Mathematics Subject Classification ID

Maximal subgroups (20E28) Special subgroups (Frattini, Fitting, etc.) (20D25) Finite nilpotent groups, (p)-groups (20D15)

Cites Work

• Groups of prime power order. Vol. 1.
• Groups of prime power order. Vol. 2.
• Groups of prime power order. Vol. 3.

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