New Kazhdan groups

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The group of simplicial automorphisms of a Tits-Kac-Moody ininite building of thickness q associated to a cocompact reflexion group with fundamental domain a simplex, is Kazhdan for q sufficiently large. Thus we obtain families of new Kazhdan groups: two in dimension 3 and one in dimension 4. The proof uses continuos cohomology, in particular a lemma of Borel-Wallach, and Garland's vanishing method.
7 pages, TeX

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Group Theory, Geometric Topology

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http://salesiana.dossiersoluciones.com/handle/123456789/96539

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9905025
 http://arxiv.org/abs/math/9905025
 Geom. Dedicata 80 (2000), no. 3, 311-317

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arXiv