On the 3-torsion in \(K_4(\mathbb{Z})\)

DOI10.1016/S0040-9383(99)00006-3zbMath0937.19004OpenAlexW1983684202MaRDI QIDQ1818703

Christophe Soule

Publication date: 30 May 2000

Published in: Topology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0040-9383(99)00006-3

zbMATH Keywords

arithmetic groupsalgebraic K-theorylinear group homology

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) Computations of higher (K)-theory of rings (19D50) Cohomology of arithmetic groups (11F75)

Related Items (8)

On the topological computation of \(K_4\) of the Gaussian and Eisenstein integers ⋮ The Steinberg representation is irreducible ⋮ On the top-weight rational cohomology of \(\mathcal{A}_g\) ⋮ Perfect forms, \(K\)-theory and the cohomology of modular groups ⋮ Preface ⋮ Some computations of the cohomology of \(\text{GL}_N(\mathbb{Z})\) and the \(K\)-theory of \(\mathbb{Z}\) ⋮ On the cohomology of linear groups over imaginary quadratic fields ⋮ Cohomology with twisted one-dimensional coefficients for congruence subgroups of \(\operatorname{SL}_4(\mathbb{Z})\) and Galois representations

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