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

2004/09/24 by Tetsuya Hosaka, Hosaka, Tetsuya · 1 citation
Mathematics · #Advanced Combinatorial Mathematics #Algebraic structures and combinatorial models #Geometric and Algebraic Topology

paper · pdf · doi:10.48550/arxiv.math/0409472

Abstract

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.

Cited by

• On equivariant homeomorphisms of boundaries of CAT(0) groups

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