  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 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.

K-Theory and Homology;Algebraic Topology;Number Theory