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

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dc.creatorElbaz-Vincent, Philippe
dc.creatorGangl, Herbert
dc.creatorSoule, Christophe
dc.date2002-07-06
dc.date.accessioned2026-07-07T04:49:35Z
dc.date.available2026-07-07T04:49:35Z
dc.descriptionFor 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.
dc.description5 pages (French)
dc.identifierhttps://arxiv.org/abs/math/0207067
dc.identifierhttp://arxiv.org/abs/math/0207067
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/64474
dc.subjectK-Theory and Homology
dc.subjectAlgebraic Topology
dc.subjectNumber Theory
dc.subject19D50, 11R70, 11F75, 20G10
dc.titleQuelques calculs de la cohomologie de GL_N(Z) et de la K-theorie de Z
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