Hypercentral Groups with all Subgroups Subnormal

DOI10.1112/BLMS/15.3.229zbMath0491.20025OpenAlexW4241731791MaRDI QIDQ3952300

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Publication date: 1983

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/blms/15.3.229

zbMATH Keywords

locally nilpotent groupssubnormal subgrouphypercentral groupascending normalisers

Mathematics Subject Classification ID

Generalizations of solvable and nilpotent groups (20F19) Chains and lattices of subgroups, subnormal subgroups (20E15) Local properties of groups (20E25)

Related Items (9)

GROUPS THAT INVOLVE FINITELY MANY PRIMES AND HAVE ALL SUBGROUPS SUBNORMAL II ⋮ Groups with many subnormal subgroups ⋮ Groups that involve finitely many primes and have all subgroups subnormal. ⋮ Locally finite groups with all subgroups either subnormal or nilpotent-by-Chernikov. ⋮ On torsion-free hypercentral groups with all subgroups subnormal ⋮ On groups with all subgroups almost subnormal ⋮ Residually nilpotent groups whose closed subgroups are subnormal. ⋮ Residually nilpotent groups with all subgroups subnormal ⋮ Hypercentral groups with all subgroups subnormal

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