New Kazhdan groups
Group Theory
2007-05-23 v1 Geometric Topology
Abstract
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.
Cite
@article{arxiv.math/9905025,
title = {New Kazhdan groups},
author = {Jan Dymara and Tadeusz Januszkiewicz},
journal= {arXiv preprint arXiv:math/9905025},
year = {2007}
}
Comments
7 pages, TeX