Finitep-Groups All of Whose Proper Quotient Groups are Abelian or Inner-Abelian

DOI10.1080/00927870903074066zbMath1215.20021OpenAlexW2140402480MaRDI QIDQ3162818

Qinhai Zhang, Li-Li Li, Ming-Yao Xu

Publication date: 22 October 2010

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927870903074066

zbMATH Keywords

finite \(p\)-groupsmetacyclic \(p\)-groups\(p\)-groups of maximal classextraspecial \(p\)-groupsinner Abelian \(p\)-groupsminimal non-Abelian \(p\)-groupsouter Abelian \(p\)-groups

Mathematics Subject Classification ID

Finite nilpotent groups, (p)-groups (20D15)

Related Items (1)

Finite groups with a certain number of values of the Chermak–Delgado measure

Cites Work

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• Finite \(p\)-groups all of whose non-Abelian proper subgroups are generated by two elements.
• Groups of prime power order. Vol. 1.
• Centrally large subgroups of finite \(p\)-groups.
• Das ``schiefe Produkt in der Gruppentheorie mit Anwendung auf die endlichen nichtkommutativen Gruppen mit lauter kommutativen echten Untergruppen und die Ordnungszahlen, zu denen nur kommutative Gruppen gehören
• Finite 2-groups with exactly four cyclic subgroups of order 2n
• A MILLENNIUM PROJECT: CONSTRUCTING SMALL GROUPS
• Endliche Gruppen I
• Abelian subgroups of small index in finite p-groups

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