ON $\mathcal A_1$- AND $\mathcal A_2$-SUBGROUPS OF FINITE p-GROUPS

DOI10.1142/S0219498813500953zbMath1294.20018MaRDI QIDQ5401624

Qinhai Zhang, Yakov G. Berkovich

Publication date: 10 March 2014

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

zbMATH Keywords

finite \(p\)-groupsmetacyclic \(p\)-groupsminimal nonabelian \(p\)-groups\(A_2\)-groups

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Subgroup theorems; subgroup growth (20E07) Special subgroups (Frattini, Fitting, etc.) (20D25) Finite nilpotent groups, (p)-groups (20D15)

Related Items (3)

Finite p-groups all of whose 𝒜k-subgroups for a fixed k are metacyclic ⋮ Finite \(p\)-groups all of whose \(\mathscr{A}_2\)-subgroups are generated by two elements ⋮ $\mathcal{A}_t$-GROUPS SATISFYING A CHAIN CONDITION

Cites Work

• Groups of prime power order. Vol. 1.
• Groups of prime power order. Vol. 3.
• 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 p-Groups All of Whose Subgroups of Index p² Are Abelian

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