Groups whose proper quotients are finite-by-nilpotent

DOI10.1007/BF01199056zbMath0725.20027OpenAlexW2081093206MaRDI QIDQ5919269

Zhirang Zhang

Publication date: 1991

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01199056

zbMATH Keywords

torsion subgroupresidually finitelower central seriestorsion-free nilpotent groupsFitting subgrouptorsion-free rankfinite exponent\(FN_c\)-groups\(JNFN_c\)-groupsfaithful just infinite modulesJNFA-groupslocally cyclic \(p'\)-groups

Mathematics Subject Classification ID

Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) General structure theorems for groups (20E34) Nilpotent groups (20F18) Derived series, central series, and generalizations for groups (20F14) Integral representations of infinite groups (20C12)

Related Items (1)

Localizations of finitely generated soluble groups.

Cites Work

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• Groups whose proper quotients have finite derived subgroups
• Primitive group rings of soluble groups
• The vanishing of certain homology and cohomology groups

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