Coxeter groups and K\"ahler groups
Geometric Topology
2013-11-13 v3 Group Theory
Abstract
We study homomorphisms from K\"ahler groups to Coxeter groups. As an application, we prove that a cocompact complex hyperbolic lattice (in complex dimension at least 2) does not embedd into a Coxeter group or a right-angled Artin group. This is in contrast with the case of real hyperbolic lattices.
Keywords
Cite
@article{arxiv.1211.1493,
title = {Coxeter groups and K\"ahler groups},
author = {Pierre Py},
journal= {arXiv preprint arXiv:1211.1493},
year = {2013}
}
Comments
10 pages, the proofs of the corollaries have been slightly simplified, the referee's comments have been included