On direct decompositions of infinite abelian groups with operators

DOI10.1007/BF01061301zbMath0713.20052MaRDI QIDQ749675

D. I. Zajtsev

Publication date: 1988

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

zbMATH Keywords

abelian groupgroup of automorphismscomposition seriesdirect sum\({\mathbb{Z}}G\)- moduledirect complementdirect decompositionelements with finite conjugacy classesFC-elementshypercyclic group

Mathematics Subject Classification ID

Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Direct sums, direct products, etc. for abelian groups (20K25)

Related Items

On complementability of certain generalized hypercenters in Artinian modules, On infinite groups with complemented non-Abelian subgroups.

Cites Work

• Irreducible groups of automorphisms of abelian groups
• Maximal subgroups and chief factors of certain generalized soluble groups
• On the Finiteness of Certain Soluble Groups
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