Finite p-groups with a minimal non-abelian subgroup of index p (V)

DOI10.1142/S0219498814500327zbMath1305.20022OpenAlexW2949837633MaRDI QIDQ2874696

Lijian An, Li Ping Zhao, Jin Gao, Hai Peng Qu

Publication date: 8 August 2014

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498814500327

zbMATH Keywords

maximal subgroupsfinite \(p\)-groupscyclic extensionsminimal non-Abelian \(p\)-groupssubgroups of index \(p\)

Mathematics Subject Classification ID

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

Related Items (7)

Finite \(p\)-groups with a minimal non-Abelian subgroup of index \(p\). I. ⋮ Finite \(p\)-groups with a minimal non-abelian subgroup of index \(p\). II. ⋮ Finite \(p\)-groups with a minimal non-abelian subgroup of index \(p\). III. ⋮ A classification of finite metahamiltonian \(p\)-groups ⋮ Finite \(p\)-groups all of whose minimal nonabelian subgroups are nonmetacyclic of order \(p^3\) ⋮ Finite p-groups with a minimal non-abelian subgroup of index p (IV) ⋮ Finite \(p\)-groups all of whose subgroups of index \(p^3\) are Abelian.

Cites Work

• Groups of prime power order. Vol. 1.
• Involutory matrices over finite commutative rings
• The Magma algebra system. I: The user language
• Finite \(p\)-groups with a minimal non-Abelian subgroup of index \(p\). I.
• Finite \(p\)-groups with few minimal nonabelian subgroups.
• 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
• A MILLENNIUM PROJECT: CONSTRUCTING SMALL GROUPS
• Endliche Gruppen I

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