Structure of periodic metabelian meta-Hamiltonian groups with a nonelementary commutator subgroup

DOI10.1007/BF01057495zbMath0647.20037MaRDI QIDQ1104419

N. F. Kuzennyj, Nikolaj N. Semko

Publication date: 1987

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

generalization of Hamiltonian groupsperiodic metabelian metahamiltonian groups

Mathematics Subject Classification ID

Solvable groups, supersolvable groups (20F16) Periodic groups; locally finite groups (20F50) General structure theorems for groups (20E34) Chains and lattices of subgroups, subnormal subgroups (20E15)

Related Items (7)

On the structure of groups whose non-abelian subgroups are subnormal. ⋮ Groups whose subgroups are either abelian or pronormal ⋮ The structure of metahamiltonian groups ⋮ Unnamed Item ⋮ Meta-Hamiltonian groups with elementary commutant of rank 2 ⋮ Unnamed Item ⋮ Groups with normal infinite non-Abelian subgroups

Cites Work

• 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
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• Unnamed Item
• Unnamed Item
• Unnamed Item

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