Fitting subgroups of profinite completions of soluble minimax groups

DOI10.1016/0021-8693(86)90101-8zbMath0589.20016OpenAlexW1963953694MaRDI QIDQ1073904

Dieter Kilsch

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0021-8693(86)90101-8

zbMATH Keywords

polycyclic-by-finite groupsspectrumfinitely generated nilpotent groupsprofinite completionFitting subgroupHirsch numberfinite imagesresidually finite soluble minimax groupfinite extensions of torsion-free nilpotent minimax groups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Solvable groups, supersolvable groups (20F16) General structure theorems for groups (20E34) Limits, profinite groups (20E18)

Cites Work

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• Conjugacy separability and separable orbits
• Nilpotent-by-finite groups with the same finite images
• Polycyclic groups with isomorphic finite quotients
• Profinitely closed subgroups of soluble groups of finite rank
• Fitting subgroups and profinite completions of polycyclic groups
• Conjugate separability in polycyclic groups
• Nilpotent groups
• A note on finitely generated torsion-free nilpotent groups of class 2
• On products of profinite groups
• Deux théorèmes d'arithmétique
• Two Examples of Soluble Groups that are not Conjugacy Separable
• Finitely Generated Nilpotent Groups with Isomorphic Finite Quotients

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