On a generalization of groups with all subgroups subnormal.

zbMath1119.20029MaRDI QIDQ2504930

Ahmet Arıkan, Tahire Özen

Publication date: 28 September 2006

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/108648

zbMATH Keywords

subnormal subgroupsnormal closuresFitting \(p\)-groupsderived subgroups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Periodic groups; locally finite groups (20F50) Chains and lattices of subgroups, subnormal subgroups (20E15) Derived series, central series, and generalizations for groups (20F14)

Cites Work

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• Auflösbarkeit von Gruppen, deren Untergruppen alle subnormal sind. (Solubility of groups all subgroups of which are subnormal)
• Torsionsgruppen, deren Untergruppen alle subnormal sind. (Torsion groups all subgroups of which are subnormal)
• A Frattini-like subgroup
• Locally Nilpotent p -Groups whose Proper Subgroups are Hypercentral or Nilpotent-by-Chernikov

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