Subnormality and quasinormality in soluble minimax groups

DOI10.1016/0021-8693(77)90314-3zbMath0406.20025OpenAlexW2059857202MaRDI QIDQ1257548

John C. Lennox, D. C. Brewster

Publication date: 1977

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

Full work available at URL: https://doi.org/10.1016/0021-8693(77)90314-3

zbMATH Keywords

Finitely Generated Metabelian GroupsNormal CoreProfinite TopologyQuasinormal SubgroupSoluble Minimax GroupSubgroup of a Polycyclic GroupSubnormal Subgroup

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Solvable groups, supersolvable groups (20F16) Chains and lattices of subgroups, subnormal subgroups (20E15) Limits, profinite groups (20E18)

Related Items

On products of subgroups in polycyclic groups ⋮ Profinitely closed subgroups of soluble groups of finite rank ⋮ Groups with all subgroups permutable or soluble of finite rank ⋮ On ascendant subgroups of infinite groups

Cites Work

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• Finitely generated metabelian groups are not subnormality separable
• Über den Normalisator von subnormalen und erreichbaren Untergruppen
• A New Treatment of Soluble Groups with Finiteness conditions on their Abelian Subgroups