Coxeter groups and Kahler groups

被引：8
|
作者：
Py, Pierre [1 ,2 ]
机构：
[1] Univ Strasbourg, IRMA, F-67084 Strasbourg, France
[2] CNRS, F-67084 Strasbourg, France
来源：
MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY | 2013年 / 155卷 / 03期
关键词：
DIRECT PRODUCTS; SUBGROUPS;
D O I：
10.1017/S0305004113000534
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study homomorphisms from Kahler 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.
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页码：557 / 566
页数：10
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