New Kazhdan groups
Abstract
The group of simplicial automorphisms of a TitsKacMoody 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 BorelWallach, and Garland's vanishing method.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 May 1999
 DOI:
 10.48550/arXiv.math/9905025
 arXiv:
 arXiv:math/9905025
 Bibcode:
 1999math......5025D
 Keywords:

 Group Theory;
 Geometric Topology
 EPrint:
 7 pages, TeX