Thin rightangled Coxeter groups in some uniform arithmetic lattices
Abstract
Using a variant of an unpublished argument due to Agol, we show that an irreducible rightangled Coxeter group on ${n \geq 3}$ vertices embeds as a thin subgroup of a uniform arithmetic lattice in an indefinite orthogonal group $\mathrm{O}(p, q)$ for some $p, q \geq 1$ satisfying $p+q=n$.
 Publication:

arXiv eprints
 Pub Date:
 November 2021
 arXiv:
 arXiv:2111.07277
 Bibcode:
 2021arXiv211107277D
 Keywords:

 Mathematics  Group Theory;
 Mathematics  Geometric Topology;
 Mathematics  Number Theory
 EPrint:
 4 pages