Homological properties of quotient divisible abelian groups and compact groups dual to them

DOI10.1134/S1063454120020090zbMath1474.20099OpenAlexW4285695966MaRDI QIDQ2227880

Nikolay I. Kryuchkov

Publication date: 16 February 2021

Published in: Vestnik St. Petersburg University. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1063454120020090

zbMATH Keywords

homotopy groupgroup of extensionsgroup of homomorphismsquotient divisible abelian groupdual compact group

Mathematics Subject Classification ID

Group rings of finite groups and their modules (group-theoretic aspects) (20C05) General properties and structure of LCA groups (22B05) Mixed groups (20K21)

Cites Work

• Duality of the categories of torsion-free Abelian groups of finite rank and quotient divisible Abelian groups.
• On quotient divisible group theory. I.
• Invariants for Abelian groups and dual exact sequences.
• Torsion-free rings
• Infinite Abelian groups, Whitehead problem and some constructions
• Compact groups that are duals of quotient divisible abelian groups
• On the quotient divisible group theory. II
• ON THE ABELIAN EXTENSIONS OF LOCALLY COMPACT ABELIAN GROUPS
• Quotient divisible abelian groups
• Extensions of locally compact abelian groups. I
• The structure of compact groups. A primer for the student -- a handbook for the expert

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