2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/64474For N=5 and N=6, we compute the Voronoi cell complex attached to real N-dimensional quadratic forms, and we obtain the homology of GL_N(Z) with trivial coefficients, up to small primes. We also prove that K_5(Z) = Z and K_6(Z) has only 3-torsion.5 pages (French)K-Theory and HomologyAlgebraic TopologyNumber Theory19D50, 11R70, 11F75, 20G10text