Residually nilpotent groups with all subgroups subnormal

DOI10.1006/JABR.2001.8939zbMath0988.20018OpenAlexW2043404935MaRDI QIDQ5952421

No author found.

Publication date: 17 June 2002

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/d3820712f3f7d36d52553e0e4bd6163be504fb30

zbMATH Keywords

subnormal subgroupslocally finite groupslower central seriesresidually nilpotent groups

Mathematics Subject Classification ID

Periodic groups; locally finite groups (20F50) Nilpotent groups (20F18) Chains and lattices of subgroups, subnormal subgroups (20E15) Residual properties and generalizations; residually finite groups (20E26) Derived series, central series, and generalizations for groups (20F14)

Related Items (4)

GROUPS THAT INVOLVE FINITELY MANY PRIMES AND HAVE ALL SUBGROUPS SUBNORMAL II ⋮ Groups with all subgroups either subnormal or self-normalizing. ⋮ Residually nilpotent groups whose closed subgroups are subnormal. ⋮ Hypercentral groups with all subgroups subnormal

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Hyperzentrale Torsionsgruppen, deren Untergruppen alle subnormal sind. (Hypercentral torsion groups all subgroups of which are subnormal)
• 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)
• On groups in which every subgroup is subnormal
• A group with trivial centre satisfying the normalizer condition
• HYPERCENTRAL GROUPS WITH ALL SUBGROUPS SUBNORMAL III
• Hypercentral Groups with all Subgroups Subnormal
• Residually Finite Groups with all Subgroups Subnormal

This page was built for publication: Residually nilpotent groups with all subgroups subnormal