Quelques calculs de la cohomologie de GLₙ(Z) et de la K-theorie de Z
Elbaz-Vincent, Philippe · Gangl, Herbert · Soule, Christophe
Original · 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.
English translation
This paper has no Arabic translation yet. Be the first: it takes a few seconds, and the result is stored for every future reader.