Twisted homology of symmetric groups

DOI10.1090/S0002-9939-02-06763-1zbMath1003.20046OpenAlexW1627338911MaRDI QIDQ4547014

Stanislaw Betley

Publication date: 20 August 2002

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-02-06763-1

zbMATH Keywords

symmetric groupshomologyderived functorscolimitscross-effectsstable \(K\)-theoryfinite pointed sets

Mathematics Subject Classification ID

Homological methods in group theory (20J05) (K)-theory and homology; cyclic homology and cohomology (19D55) Cohomology theory for linear algebraic groups (20G10)

Related Items

Homological stability for automorphism groups ⋮ Stabilization for mapping class groups of 3-manifolds ⋮ Motivic homological stability of configuration spaces ⋮ Pontrjagin-Thom maps and the homology of the moduli stack of stable curves ⋮ A new approach to twisted homological stability with applications to congruence subgroups ⋮ Representations of categories of \(G\)-maps ⋮ Homological stability for moduli spaces of disconnected submanifolds. I ⋮ Homological stability of non-orientable mapping class groups with marked points ⋮ Homological stability for oriented configuration spaces ⋮ Homological stability of topological moduli spaces ⋮ Twisted homological stability for extensions and automorphism groups of free nilpotent groups

Cites Work

• Homology stability for linear groups
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• Twisted (co)homological stability for monoids of endomorphisms
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• Dold-Kan type theorem for \(\Gamma\)-groups
• Calculations in THH-theory
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• Cohomology of algebraic theories
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• Stabilisation de la $K$-théorie algébrique des espaces topologiques
• Hodge decomposition for higher order Hochschild homology
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