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Geodesically Tracking Quasi-geodesic Paths for Coxeter Groups.

Пт, 12/16/2011 - 15:01 — SomNambul
Authors: Steven Tschantz, Michael L. Mihalik
Subjects: Group Theory
link: http://arxiv.org/abs/1112.3397
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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