Parabolic Subgroups of Coxeter Groups Acting by Reflections on Cat(0) Spaces
نویسنده
چکیده
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 Σ(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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