On subgroups of finite \(p\)-groups.

DOI10.1007/s11856-009-0038-5zbMath1181.20017OpenAlexW2000854262MaRDI QIDQ836101

Yakov G. Berkovich, Zvonimir Janko

Publication date: 31 August 2009

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11856-009-0038-5

zbMATH Keywords

maximal subgroupsfinite \(p\)-groups2-generator subgroupsmetacyclic groups

Mathematics Subject Classification ID

Maximal subgroups (20E28) Generators, relations, and presentations of groups (20F05) Finite nilpotent groups, (p)-groups (20D15)

Related Items (4)

On finite \(p\)-groups with few nonabelian subgroups of order \(p^p\) and exponent \(p\). ⋮ Maximal Abelian and minimal nonabelian subgroups of some finite two-generator \(p\)-groups especially metacyclic. ⋮ On the rank of the 2-class group of \(\mathbb Q(\sqrt{p},\sqrt{q},\sqrt{-1})\) ⋮ Real quadratic number fields with metacyclic Hilbert $2$-class field tower

Cites Work

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• 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
• On the Number of Subgroups of Given Order in a Finite p-Group of Exponent p
• Short proofs of some basic characterization theorems of finite p-group theory

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