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

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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.
5 pages (French)

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K-Theory and Homology, Algebraic Topology, Number Theory, 19D50, 11R70, 11F75, 20G10

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http://salesiana.dossiersoluciones.com/handle/123456789/64474

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0207067
 http://arxiv.org/abs/math/0207067

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arXiv