On groups with all subgroups almost subnormal

DOI10.1017/S1446788700013549zbMath1079.20043OpenAlexW1979264986MaRDI QIDQ4668456

Eloisa Detomi

Publication date: 19 April 2005

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

Full work available at URL: https://doi.org/10.1017/s1446788700013549

zbMATH Keywords

subgroups of finite indextorsion-free groupsperiodic groupsfinite-by-nilpotent groupsalmost subnormal subgroups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Generalizations of solvable and nilpotent groups (20F19) Chains and lattices of subgroups, subnormal subgroups (20E15) Derived series, central series, and generalizations for groups (20F14)

Related Items (3)

Groups with many subnormal subgroups ⋮ Unnamed Item ⋮ Groups in which all subgroups of infinite special rank have bounded near defect

Cites Work

• Torsionsfreie Gruppen, deren Untergruppen alle subnormal sind. (Torsion free groups all of whose subgroups are subnormal)
• Groups with many subnormal subgroups
• A group with trivial centre satisfying the normalizer condition
• Torsion-free groups in which every subgroup is subnormal.
• Groups with finite classes of conjugate subgroups
• Groups in which every subgroup is f-subnormal
• Hypercentral Groups with all Subgroups Subnormal
• On Groups in which Every Subgroup is Almost Subnormal
• Torsion-free groups with all subgroups subnormal
• Unnamed Item
• Unnamed Item

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