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Homology and $K$-theory of the Bianchi groups Rahm, Alexander in Comptes Rendus. Mathématique (2011), 349(11-12), 615--619 Detailed reference viewed: 138 (5 UL)The integral homology of $ PSL_2$ of imaginary quadratic integers with nontrivial class group Rahm, Alexander ; in Journal of Pure and Applied Algebra (2011), 215(6), 1443--1472 Detailed reference viewed: 68 (22 UL)Verification of the Quillen conjecture in the rank 2 imaginary quadratic case Rahm, Alexander ; E-print/Working paper (n.d.) We confirm a conjecture of Quillen in the case of the mod 2 cohomology of arithmetic groups SL_2(A[1/2]), where A is an imaginary quadratic ring of integers. To make explicit the free module structure on ... [more ▼] We confirm a conjecture of Quillen in the case of the mod 2 cohomology of arithmetic groups SL_2(A[1/2]), where A is an imaginary quadratic ring of integers. To make explicit the free module structure on the cohomology ring conjectured by Quillen, we compute the mod 2 cohomology of SL_2(Z[sqrt(−2)][1/2]) via the amalgamated decomposition of the latter group. [less ▲] Detailed reference viewed: 75 (1 UL) |
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