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arXiv · 2606.23811

Characterizing property (NL) in {C}oxeter groups

Sahana Balasubramanya·Rachel Niebler·Roberta Shapiro
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Abstract

A group has Property (NL) -- which stands for ``no loxodromics" -- if no element of the group acts loxodromically on any hyperbolic space. In this brief note, we provide a complete characterization of which Coxeter groups have Property (NL).

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Sahana Balasubramanya, Rachel Niebler, Roberta Shapiro. 2026-06-22. Characterizing property (NL) in {C}oxeter groups. https://arxiv.org/abs/2606.23811

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