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arXiv · 1112.3397

Geodesically Tracking Quasi-geodesic Paths for Coxeter Groups

Michael L. Mihalik·Steven Tschantz
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Abstract

The main theorem of this paper classifies the quasi-geodesics in a Coxeter group that are tracked by geodesics. As corollaries, we show that if a Coxeter group acts geometrically on a CAT(0) space X then CAT(0) rays (and lines) are tracked by Cayley graph geodesics, all special subgroups of the Coxeter group are quasi-convex in X, and in Cayley graphs for Coxeter groups, elements of infinite order are tracked by geodesics.

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BibTeXRIS

Michael L. Mihalik, Steven Tschantz. 2011-12-15. Geodesically Tracking Quasi-geodesic Paths for Coxeter Groups. https://doi.org/10.1112/blms%2Fbds125

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