Finite \(p\)-groups with exactly one \(\mathcal A_1\)-subgroup of given structure of order \(p^3\).

DOI10.1007/S10114-013-2025-3zbMath1285.20018OpenAlexW1979076502MaRDI QIDQ381089

Li Bo Zhao, Xiu Yun Guo

Publication date: 15 November 2013

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-013-2025-3

zbMATH Keywords

finite \(p\)-groupsfinite \(2\)-groups\(\mathcal A_1\)-subgroups

Mathematics Subject Classification ID

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

Related Items (2)

On the finite $p$-groups with unique cyclic subgroup of given order ⋮ Finite \(p\)-groups all of whose minimal nonabelian subgroups are nonmetacyclic of order \(p^3\)

Uses Software

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Cites Work

• Groups of prime power order. Vol. 1.
• Groups of prime power order. Vol. 2.
• 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
• Generalizations of Certain Elementary Theorems on p -Groups

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