Homology stability for \(GL_n\) of a Dedekind domain

DOI10.1007/BF01403153zbMath0427.18013OpenAlexW2024142935WikidataQ115018851 ScholiaQ115018851MaRDI QIDQ1136843

Ruth M. Charney

Publication date: 1980

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/142684

zbMATH Keywords

spectral sequenceprojective moduleshomotopy typesimplicial complexK-theoryDedekind domainbuildingswedge of spheresBass' stable range conditionshomology of linear groupshomology stabilityTits buildingQuillen's Qn-categorysplit building

Mathematics Subject Classification ID

Homological methods in group theory (20J05) Cohomology theory for linear algebraic groups (20G10) Algebraic (K)-theory and (L)-theory (category-theoretic aspects) (18F25)

Related Items (26)

The homology of the Brauer algebras ⋮ Hecke Operators and the Stable Homology ofGL(n) ⋮ A homological fibration for \(Gl_\infty\) ⋮ Linear groups over general rings. I: Generalities. ⋮ Tethers and homology stability for surfaces ⋮ Homology stability for linear groups ⋮ The tree representation of \(\Sigma_{n+1}\) ⋮ Homological stability for classical groups. ⋮ On the edge of the stable range ⋮ Improved homological stability for certain general linear groups ⋮ Homological stability for Iwahori–Hecke algebras ⋮ The rational stable homology of mapping class groups of universal nil-manifolds ⋮ Topology. Abstracts from the workshop held July 24--30, 2022 ⋮ The reductive Borel-Serre compactification as a model for unstable algebraic K-theory ⋮ Homological stability for classical groups ⋮ The homology of special linear groups over polynomial rings1 ⋮ Homology of holomorphs of free groups. ⋮ Homological stability of automorphism groups of quadratic modules and manifolds ⋮ On the problem of homology stability for congruence subgroups ⋮ Algebraic K-theory ⋮ Stability of the homology of the moduli spaces of Riemann surfaces with spin structure ⋮ \(E_2\)-cells and mapping class groups ⋮ The split building of a reductive group ⋮ Twisted homological stability for extensions and automorphism groups of free nilpotent groups ⋮ Homotopy properties of certain complexes associated to spherical buildings. ⋮ Homological stability for completed homology

Cites Work

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• Stability for homology of the general linear group of a local ring
• The cohomology of \(SL_3(Z)\)
• Homology stability for 0_n,n
• Stable real cohomology of arithmetic groups
• High dimensional cohomology of discrete groups

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