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Coxeter groups and Kähler groups
Published online by Cambridge University Press: 02 September 2013
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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