Finite p-groups all of whose 𝒜k-subgroups for a fixed k are metacyclic

DOI10.1142/S0219498817500554zbMath1367.20012MaRDI QIDQ2978570

Yakov G. Berkovich

Publication date: 25 April 2017

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

zbMATH Keywords

metacyclic \(p\)-groupsminimal nonabelian \(p\)-groupsminimal nonmetacyclic \(p\)-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)

Cites Work

• Groups of prime power order. Volume 4.
• Groups of prime power order. Vol. 1.
• Groups of prime power order. Vol. 2.
• ON $\mathcal A_1$- AND $\mathcal A_2$-SUBGROUPS OF FINITE p-GROUPS
• Unnamed Item

This page was built for publication: Finite p-groups all of whose 𝒜k-subgroups for a fixed k are metacyclic