On solvable groups, all proper factor groups of which have finite ranks

DOI10.1007/BF01058641zbMath0826.20003MaRDI QIDQ1343445

A. V. Tushev

Publication date: 19 February 1995

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

zbMATH Keywords

subgroups of finite indexNoetherian domainsFitting subgroupfinitely generated metabelian groupssoluble groups of finite rankAbelian torsion-free groups of finite rankFC-radicalsgroups of just infinite rankmodules of just infinite rankNoetherian \(\Gamma\)-plinthnormal minimax torsion-free subgroupsresidually finite modulesresidually finite soluble groupssoluble groups of finite torsion-free rank

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Solvable groups, supersolvable groups (20F16) Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07)

Cites Work

• Unnamed Item
• Groups whose proper quotients have finite derived subgroups
• Group rings of polycyclic groups
• Some properties of groups inherited by normal subgroups of finite index
• On the Finiteness of Certain Soluble Groups
• The Nullstellensatz for Certain Group Rings
• Finiteness Conditions for Soluble Groups

This page was built for publication: On solvable groups, all proper factor groups of which have finite ranks