The lower bound of the number of nonabelian subgroups of finite p-groups

DOI10.1080/00927872.2019.1612420zbMath1468.20038OpenAlexW2946827938MaRDI QIDQ5238156

Qinhai Zhang, Junqiang Zhang

Publication date: 28 October 2019

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

Full work available at URL: https://doi.org/10.1080/00927872.2019.1612420

zbMATH Keywords

nonabelian subgroups\(\mathcal{A}_t\)-groupsHall's enumeration principle

Mathematics Subject Classification ID

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

Related Items (1)

At-groups with t + 1 generators

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.
• Finite \(p\)-groups all of whose proper subgroups have small derived subgroups.
• Finite \(p\)-groups all of whose subgroups of index \(p^3\) are Abelian.
• 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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