The Wielandt subgroup of a polycyclic group

DOI10.1017/S0017089500008260zbMath0732.20022MaRDI QIDQ3358938

John Cossey

Publication date: 1991

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

centernilpotent groupssubnormal subgroupspolycyclic groupsresidually nilpotent groupsfinite indexWielandt subgroupfinite-by-nilpotentiterated Wielandt subgroupsnilpotent- by-abelian

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Solvable groups, supersolvable groups (20F16) Generalizations of solvable and nilpotent groups (20F19) Other classes of groups defined by subgroup chains (20F22) Nilpotent groups (20F18) Chains and lattices of subgroups, subnormal subgroups (20E15)

Related Items (5)

On the \(\pi\mathfrak F\)-norm and the \(\mathfrak H\)-\(\mathfrak F\)-norm of a finite group. ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Groups satisfying chain conditions on \(f\)-subnormal subgroups ⋮ An analogue of the Wielandt subgroup in infinite groups

Cites Work

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• Über den Normalisator der subnormalen Untergruppen
• Endliche Gruppen I

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