Nonperiodic FC-groups and related classes of locally normal groups and torsionfree Abelian groups

DOI10.1007/BF00969390zbMath0604.20039OpenAlexW2007166034MaRDI QIDQ1083544

Leonid A. Kurdachenko

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1007/bf00969390

zbMATH Keywords

torsion subgrouppure subgroupsFC-groupsSDF-groupssubgroup of a direct product of finite groupstorsionfree abelian groups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) General structure theorems for groups (20E34) Chains and lattices of subgroups, subnormal subgroups (20E15) Local properties of groups (20E25) FC-groups and their generalizations (20F24)

Related Items (6)

Unnamed Item ⋮ On modules over group rings of nilpotent groups. ⋮ Locally soluble AFA-groups. ⋮ Unnamed Item ⋮ Periodic Linear Groups with the Weak Chain Conditions on Subgroups of Infinite Central Dimension ⋮ On the structure of some locally nilpotent groups without contranormal subgroups

Cites Work

• Groups with a complete system of almost-normal subgroups
• Structure of FC-groups whose periodic parts can be embedded into direct products of finite groups
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