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Coxeter groups and Kähler groups

Published 7 Nov 2012 in math.GT and math.GR | (1211.1493v3)

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.

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