A universal coefficient theorem for quadratic functors

DOI10.1016/S0022-4049(98)00139-XzbMath0972.18008MaRDI QIDQ1977891

Hans-Joachim Baues, Teimouraz Pirashvili

Publication date: 4 November 2001

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

zbMATH Keywords

derived functoruniversal coefficient theoremquadratic moduleQuillen homologyquadratic functornilpotent groups of class 2simplicial abelian group

Mathematics Subject Classification ID

Homological methods in group theory (20J05) Resolutions; derived functors (category-theoretic aspects) (18G10) Nonabelian homological algebra (category-theoretic aspects) (18G50) Ext and Tor, generalizations, Künneth formula (category-theoretic aspects) (18G15) Simplicial sets and complexes in algebraic topology (55U10) Category of groups (20J15) Universal coefficient theorems, Bockstein operator (55U20)

Related Items (8)

Third Mac Lane cohomology via categorical rings ⋮ Derived functors of nonadditive functors and homotopy theory ⋮ The subgroup determined by a certain ideal in a free group ring. ⋮ Unnamed Item ⋮ Narain Gupta's three normal subgroup problem and group homology ⋮ Homotopical and combinatorial aspects of the theory of normal series in groups. ⋮ Suspensions of crossed and quadratic complexes, co-H-structures and applications ⋮ Homotopy theory and generalized dimension subgroups

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