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Coxeter groups and Kähler groups

Published online by Cambridge University Press:  02 September 2013

PIERRE PY
PIERRE PY*
Affiliation:
IRMA, Université de Strasbourg & CNRS67084 Strasbourg, France. e-mail: [email protected]
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Abstract

We study homomorphisms from Kähler groups to Coxeter groups. As an application, we prove that a cocompact complex hyperbolic lattice (in complex dimension at least 2) does not embed into a Coxeter group or a right-angled Artin group. This is in contrast with the case of real hyperbolic lattices.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 155 , Issue 3 , November 2013 , pp. 557 - 566
Copyright
Copyright © Cambridge Philosophical Society 2013 

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