Locally finite groups with all subgroups either subnormal or nilpotent-by-Chernikov.

DOI10.2478/S11533-012-0020-ZzbMath1257.20039OpenAlexW2087595202MaRDI QIDQ424116

Giovanni Cutolo, Howard Smith

Publication date: 31 May 2012

Published in: Central European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/s11533-012-0020-z

zbMATH Keywords

subnormal subgroupslocally finite groupsnilpotent-by-Chernikov groups

Mathematics Subject Classification ID

Periodic groups; locally finite groups (20F50) Generalizations of solvable and nilpotent groups (20F19) Chains and lattices of subgroups, subnormal subgroups (20E15)

Related Items (1)

On infinitely generated groups whose proper subgroups are solvable.

Cites Work

• Groups with all subgroups subnormal or nilpotent-by-Chernikov.
• Auflösbare Gruppen mit endlichem Exponenten, deren Untergruppen alle subnormal sind. II. (Soluble groups of finite exponent all subgroups of which are subnormal. II)
• On groups with nilpotent by Černikov proper subgroups
• On non-nilpotent groups with all subgroups subnormal.
• Hypercentral Groups with all Subgroups Subnormal
• Locally Nilpotent p -Groups whose Proper Subgroups are Hypercentral or Nilpotent-by-Chernikov
• On the structure of groups with all subgroups subnormal
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Locally finite groups with all subgroups either subnormal or nilpotent-by-Chernikov.