Finite -groups all of whose proper subgroups have cyclic Frattini subgroups

DOI10.1515/JGT.2011.107zbMath1253.20011OpenAlexW2013671151MaRDI QIDQ2903541

Junqiang Zhang, Xianhua Li

Publication date: 10 August 2012

Published in: jgth (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jgt.2011.107

zbMATH Keywords

finite \(p\)-groupscyclic Frattini subgroup

Mathematics Subject Classification ID

Special subgroups (Frattini, Fitting, etc.) (20D25) Finite nilpotent groups, (p)-groups (20D15)

Related Items (1)

A Study of the Number of Roots of xk = g in a Finite Group via Its Frobenius-Schur Indicators

Cites Work

• On subgroups of finite \(p\)-groups
• 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
• Short proofs of some basic characterization theorems of finite p-group theory

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