Quelques calculs de la cohomologie de GLₙ(Z) et de la K-theorie de Z

الأصل · EN

For N=5 and N=6, we compute the Voronoi cell complex attached to real N-dimensional quadratic forms, and we obtain the homology of GLₙ(Z) with trivial coefficients, up to small primes. We also prove that K₅(Z) = Z and K₆(Z) has only 3-torsion.