Finite Chevalley groups and loop groups

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Let p, ell be distinct primes and let q be a power of p. Let G be a connected compact Lie group. We show that there exists an integer b such that the mod ell cohomology of the classifying space of a finite Chevalley group G(F_q) is isomorphic to the mod ell cohomology of the classifying space of the loop group LG for q=p^{ab}, a>0.
14 pages

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Algebraic Topology, 55R35

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http://salesiana.dossiersoluciones.com/handle/123456789/171114

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0810.1678
 http://arxiv.org/abs/0810.1678

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arXiv