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arXiv · 2503.11725

Fixed-point-free involutions on the boundaries of Right-angled Coxeter Groups

Aditya De Saha
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Abstract

About 20 years ago, Bogdan Nica conjectured that the boundary of any word-hyperbolic group admits admits a fixed-point-free involution. In this very short article, we prove a variation of the conjecture, replacing word-hyperbolic groups with Right-angled coxeter groups. This is not a solution to Nica's conjecture, but hopefully the techniques will shed some light regarding possible approaches to the problem.

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Aditya De Saha. 2025-03-14. Fixed-point-free involutions on the boundaries of Right-angled Coxeter Groups. https://arxiv.org/abs/2503.11725

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