The intersection of nonabelian subgroups of finite p-groups

DOI10.1142/S0219498817500207zbMath1375.20015OpenAlexW2287717657MaRDI QIDQ2958486

Li-Hua Zhang

Publication date: 2 February 2017

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

Full work available at URL: https://doi.org/10.1142/s0219498817500207

zbMATH Keywords

finite \(p\)-groupsminimal nonabelian groups\(\mathcal{A}_t\)-groupsintersection of nonabelian subgroups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Special subgroups (Frattini, Fitting, etc.) (20D25) Finite nilpotent groups, (p)-groups (20D15)

Related Items (4)

Unnamed Item ⋮ Finite \(p\)-groups all of whose \(\mathscr{A}_2\)-subgroups are generated by two elements ⋮ Intersection of maximal subgroups which are not minimal nonabelian of finite p-groups ⋮ Finite \(p\)-groups all of whose minimal nonabelian subgroups are nonmetacyclic of order \(p^3\)

Cites Work

• Finite \(p\)-groups all of whose non-Abelian proper subgroups are generated by two elements.
• Groups of prime power order. Vol. 1.
• Groups of prime power order. Vol. 2.
• Finite \(p\)-groups all of whose subgroups of index \(p^3\) are Abelian.
• 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
• Finite p-Groups All of Whose Subgroups of Index p² Are Abelian
• A Classification of Metacyclic 2-Groups
• Unnamed Item

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