Finite 2-groups with exactly one nonmetacyclic maximal subgroup.

DOI10.1007/s11856-008-1033-yzbMath1157.20010OpenAlexW1978035419MaRDI QIDQ948891

Zvonimir Janko

Publication date: 16 October 2008

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

Full work available at URL: https://doi.org/10.1007/s11856-008-1033-y

zbMATH Keywords

relationsmaximal subgroupsgeneratorsproducts of subgroupsfinite 2-groupsmetacyclic groups

Mathematics Subject Classification ID

Maximal subgroups (20E28) Generators, relations, and presentations of groups (20F05) Finite nilpotent groups, (p)-groups (20D15) Products of subgroups of abstract finite groups (20D40)

Related Items (7)

On subgroups of finite \(p\)-groups. ⋮ On the Prüfer rank of mutually permutable products of abelian groups ⋮ Fusion Systems on Bicyclic 2-Groups ⋮ Finite \(p\)-groups all of whose maximal subgroups either are metacyclic or have a derived subgroup of order \(\leq p\). ⋮ Products of locally cyclic groups ⋮ Skew-morphisms of cyclic 2-groups ⋮ Complete regular dessins and skew-morphisms of cyclic groups

Cites Work

• Powerful \(p\)-groups. I: Finite groups.
• Realisierung von Darstellungen endlicher nilpotenter Gruppen. (Realization of representations of finite-dimensional nilpotent groups)
• Groups of prime power order. Vol. 1.
• Über das Produkt von paarweise vertauschbaren zyklischen Gruppen
• Short proofs of some basic characterization theorems of finite p-group theory
• Finite 2-groups with no normal elementary Abelian subgroups of order 8
• Unnamed Item

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