Groups with restriction on their infinite subnormal subgroups

DOI10.1017/S0013091500003357zbMath0644.20020MaRDI QIDQ3786633

Hermann Heineken

Publication date: 1988

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

zbMATH Keywords

subnormal subgroupsdefecttransitive normalityT-groupsabelian normal subgroupinfinite \(IB_ n\)-groupIT- groupssoluble \(IB_ n\)- groups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) General structure theorems for groups (20E34) Chains and lattices of subgroups, subnormal subgroups (20E15)

Related Items (7)

On conormal subgroups ⋮ Groups with finitely many normalizers of subnormal subgroups. ⋮ Groups with restrictions on infinite subnormal subgroups ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Groups with finite conjugacy classes of subnormal subgroups ⋮ An analogue of the Wielandt subgroup in infinite groups

Cites Work

• Groups in which every infinite subnormal subgroup is normal
• Eine Verallgemeinerung der invarianten Untergruppen

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