Homotopy classification and the generalized Swan homomorphism

DOI10.1017/is008012013jkt072zbMath1191.55002OpenAlexW2018986196MaRDI QIDQ5188020

Francis E. A. Johnson

Publication date: 10 March 2010

Published in: Journal of K-theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/is008012013jkt072

zbMATH Keywords

derived module categorySwan homomorphismalgebraic \(n\)-complexcoprojective module

Mathematics Subject Classification ID

Grothendieck groups, (K)-theory, etc. (16E20) Classification of homotopy type (55P15) Syzygies, resolutions, complexes in associative algebras (16E05) Abstract complexes in algebraic topology (55U05)

Related Items (1)

Infinite branching in the first syzygy.

Cites Work

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• Periodic resolutions for finite groups
• On the Swan subgroup of certain periodic groups
• Groups with homological duality generalizing Poincaré duality
• Rigidity of hyperstable complexes.
• Some remarks on the invariant basis property
• On groups satisfying Poincaré duality
• Trees of homotopy types of two-dimensional CW-complexes

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