Parabolic subgroups of Coxeter groups acting by reflections on CAT(0) spaces

Details Parabolic subgroups of Coxeter groups acting by reflections on CAT(0) spaces Parabolic subgroups of Coxeter groups acting by reflections on CAT(0) spaces

2004-09-24

arxiv.org/abs/math/0409472v2

Mathematics

Group Theory

Scientific paper

We consider a cocompact discrete reflection group $W$ of a CAT(0) space $X$.
Then $W$ becomes a Coxeter group. In this paper, we study an analogy between
the Davis-Moussong complex $\Sigma(W,S)$ and the CAT(0) space $X$, and show
several analogous results about the limit set of a parabolic subgroup of the
Coxeter group $W$.

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