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Structure of periodic nonabelian metahamiltonian groups with an elementary commutator subgroup of rank three

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Publication:749665
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DOI10.1007/BF01060379zbMath0713.20032MaRDI QIDQ749665

N. F. Kuzennyj, Nikolaj N. Semko

Publication date: 1989

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


zbMATH Keywords

commutator subgroupperiodic metabelian metahamiltonian groups


Mathematics Subject Classification ID

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


Related Items (3)

On the structure of groups whose non-abelian subgroups are subnormal. ⋮ Groups whose subgroups are either abelian or pronormal ⋮ The structure of metahamiltonian groups



Cites Work

  • Sui commutatori nei gruppi il cui derivato e prodotto diretto di gruppi ciclici
  • 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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