The diagonal comultiplication on homology

DOI10.1016/0022-4049(81)90090-6zbMath0456.20027OpenAlexW1990615882MaRDI QIDQ1150440

Kathy Horadam

Publication date: 1981

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(81)90090-6

zbMATH Keywords

nilpotent groupsone-relator groupslower central seriesfree presentationfree group ringcommutative graded co-ringcup coproductdiagonal comultiplicationintegral homology modules of a groupsecond Fox derivative

Mathematics Subject Classification ID

Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Generators, relations, and presentations of groups (20F05) Nilpotent groups (20F18) Homological methods in group theory (20J05) Derived series, central series, and generalizations for groups (20F14)

Related Items (3)

A Quick Test for Nonisomorphism of One-Relator Groups ⋮ One-relator groups and the lower central series. I: The splitting isomorphism ⋮ The cup product and coproduct for a combinatorially aspherical group

Cites Work

• The mapping cylinder resolution for a groupnet diagram
• Free differential calculus. I: Derivation in the free group ring. II: The isomerphism problem of groups. III: Subgroups
• A Quick Test for Nonisomorphism of One-Relator Groups
• The homology of groupnets
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