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

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

2002-07-06

arxiv.org/abs/math/0207067v1

Mathematics

K-Theory and Homology

5 pages (French)

Scientific paper

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.

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