Some classes of groups with the weak minimal and maximal conditions for normal subgroups

DOI10.1007/BF01099224zbMath0719.20014OpenAlexW2046436529MaRDI QIDQ2639963

Leonid A. Kurdachenko

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1007/bf01099224

zbMATH Keywords

minimaxsubgroups of finite indexascending series of normal subgroupsresidually finitealmost hypercentralalmost solublealmost torsion-freeFC-hypercentral groupperiodic hypercentral normal subgroupweak minimal and maximal conditions for normal subgroups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Other classes of groups defined by subgroup chains (20F22) Chains and lattices of subgroups, subnormal subgroups (20E15) Residual properties and generalizations; residually finite groups (20E26) Derived series, central series, and generalizations for groups (20F14) FC-groups and their generalizations (20F24)

Related Items

On complementability of certain generalized hypercenters in Artinian modules ⋮ Groups with the weak minimal condition on non-normal non-abelian subgroups

Cites Work

• Just infinite modules over locally soluble groups
• Groups with descending chain condition for normal subgroups
• Remarks on the Upper Centralc Series of a Group
• On the Finiteness of Certain Soluble Groups
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