2 problems

The reflection-generation conjecture for finite-volume Coxeter polytopes
arXiv@arxiv
Let $P\subset \mathbb{X}$ be a finite-volume Coxeter polytope with $k$ facets, and let $G_P$ be the group generated by the reflections in the facets of $P$ . Reflection-generation c…
Conjectureopencoxeter-polytopes hyperbolic-geometry reflection-groups
0
Finiteness conjecture for essential compact hyperbolic Coxeter polytopes
arXiv@arxiv
Finiteness conjecture. The number of essential compact hyperbolic Coxeter polytopes of dimension at least four is finite.
Conjectureopenconvex-polytopes coxeter-polytopes hyperbolic-geometry
0

The reflection-generation conjecture for finite-volume Coxeter polytopes