Groups with many subnormal subgroups

DOI10.1016/S0021-8693(03)00095-4zbMath1027.20012OpenAlexW2038077494MaRDI QIDQ1399174

Eloisa Detomi

Publication date: 30 July 2003

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

Full work available at URL: https://doi.org/10.1016/s0021-8693(03)00095-4

zbMATH Keywords

subnormal subgroupsdefectlocally nilpotent groupsnilpotency classesgeneralized nilpotency

Mathematics Subject Classification ID

Nilpotent groups (20F18) Chains and lattices of subgroups, subnormal subgroups (20E15) Derived series, central series, and generalizations for groups (20F14) Subnormal subgroups of abstract finite groups (20D35)

Related Items

Groups in which every subgroup of infinite rank is almost permutable ⋮ On groups with all subgroups almost subnormal ⋮ Residually nilpotent groups whose closed subgroups are subnormal. ⋮ Hypercentral groups with all subgroups subnormal

Cites Work

• Some sufficient conditions for a group to be nilpotent
• A group with trivial centre satisfying the normalizer condition
• Torsion-free groups in which every subgroup is subnormal.
• Hypercentral Groups with all Subgroups Subnormal
• NILPOTENT SUBGROUPS OF GROUPS WITH ALL SUBGROUPS SUBNORMAL
• On the structure of groups with all subgroups subnormal
• On groups with all subgroups almost subnormal
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