Profinitely closed subgroups of soluble groups of finite rank

DOI10.1016/0021-8693(81)90250-7zbMath0471.20024OpenAlexW2008908246MaRDI QIDQ1157402

Dieter Kilsch

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1016/0021-8693(81)90250-7

zbMATH Keywords

profinite topologylocally nilpotent groupminimax groupprofinite closure of subgroupsquasicyclic p- sectionsreduced soluble group

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Solvable groups, supersolvable groups (20F16) Limits, profinite groups (20E18)

Related Items

Nilpotent-by-finite groups with the same finite images ⋮ Conjugacy separability and separable orbits ⋮ Fitting subgroups of profinite completions of soluble minimax groups

Cites Work

• Unnamed Item
• On products of subgroups in polycyclic groups
• A note on permutable subgroups
• On finitely generated groups with many profinite-closed subgroups
• Subnormality and quasinormality in soluble minimax groups