Two-step solvable groups with weak minimal condition for normal subgroups

DOI10.1007/BF01059601zbMath0593.20047OpenAlexW1993940829MaRDI QIDQ1076152

A. V. Tushev, Leonid A. Kurdachenko

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1007/bf01059601

zbMATH Keywords

additivegroupmetabelian groupsfaithfulmin-\(\infty \) condition for normal subgroupstorsion-free abelian group of finite rankZG-module

Mathematics Subject Classification ID

Solvable groups, supersolvable groups (20F16) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Other classes of groups defined by subgroup chains (20F22) Chains and lattices of subgroups, subnormal subgroups (20E15)

Cites Work

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• Direct complementation in groups with operators
• Polyminimaxgruppen
• Injective modules and soluble groups satisfying the minimal condition for normal subgroups
• On the construction of particular solutions of linear inhomogeneous differential equations in a neighborhood of an irregular singular point

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