Residually nilpotent groups whose closed subgroups are subnormal.

DOI10.1016/j.jalgebra.2010.10.022zbMath1235.20027OpenAlexW2027228968MaRDI QIDQ716455

D. Kharzeev

Publication date: 22 September 2011

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2010.10.022

zbMATH Keywords

subnormal subgroupsperiodic groupsresidually nilpotent groupsclosed subgroupssubnormal intersection property

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) Residual properties and generalizations; residually finite groups (20E26)

Cites Work

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• Auflösbare Gruppen mit endlichem Exponenten, deren Untergruppen alle subnormal sind. I. (Soluble groups of finite exponent all subgroups of which are subnormal. I)
• Auflösbare Gruppen mit endlichem Exponenten, deren Untergruppen alle subnormal sind. II. (Soluble groups of finite exponent all subgroups of which are subnormal. II)
• Existentially closed L\({\mathfrak X}\)-groups
• Groups with subnormal subgroups of bounded defect
• Torsionsgruppen, deren Untergruppen alle subnormal sind. (Torsion groups all subgroups of which are subnormal)
• Groups with many subnormal subgroups
• On groups in which every subgroup is subnormal
• Soluble minimax groups with the subnormal intersection property
• m-Wielandt series in infinite groups
• Hypercentral Groups with all Subgroups Subnormal
• Subnomality in soluble minimax groups
• On the structure of groups with all subgroups subnormal
• On Finitely Generated Soluble Groups
• Wreath Products and Indices of Subnormality
• Residually nilpotent groups with all subgroups subnormal

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