On faces of quasiarithmetic Coxeter polytopes
Abstract
We prove that each lowerdimensional face of a quasiarithmetic Coxeter polytope, which happens to be itself a Coxeter polytope, is also quasiarithmetic. We also provide a sufficient condition for a codimension $1$ face to be actually arithmetic, as well as a few computed examples.
 Publication:

arXiv eprints
 Pub Date:
 February 2020
 DOI:
 10.48550/arXiv.2002.11445
 arXiv:
 arXiv:2002.11445
 Bibcode:
 2020arXiv200211445B
 Keywords:

 Mathematics  Geometric Topology;
 Mathematics  Group Theory;
 Mathematics  Metric Geometry;
 Mathematics  Number Theory;
 20F55;
 20H10;
 22E40
 EPrint:
 14 pages, 3 figures