On groups in which each subgroup generated by two elements is finite

DOI10.1007/BF01848146zbMath0467.20035OpenAlexW1995874371MaRDI QIDQ1155722

L. Ivan

Publication date: 1982

Published in: Periodica Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01848146

zbMATH Keywords

2-finite groupCernikov groupminimum condition on abelian subgroupsminimum condition on non-abelian subgroups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Periodic groups; locally finite groups (20F50) Chains and lattices of subgroups, subnormal subgroups (20E15)

Cites Work

• Unnamed Item
• Artinian, almost abelian groups and their groups of automorphisms
• 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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