# Thin right‐angled Coxeter groups in some uniform arithmetic lattices

@article{Douba2022ThinRC,
title={Thin right‐angled Coxeter groups in some uniform arithmetic lattices},
author={Sami Douba},
journal={Bulletin of the London Mathematical Society},
year={2022}
}
• Sami Douba
• Published 14 November 2021
• Mathematics
• Bulletin of the London Mathematical Society
. Using a variant of an unpublished argument due to Agol, we show that an irreducible right-angled Coxeter group on n ≥ 3 vertices embeds as a thin subgroup of a uniform arithmetic lattice in an indeﬁnite orthogonal group O( p,q ) for some p,q ≥ 1 satisfying p + q = n .
1 Citations

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