VIRTUALLY FIBERING RIGHT-ANGLED COXETER GROUPS

Abstract

We show that certain right-angled Coxeter groups have finite index subgroups that quotient to $\mathbb Z$ with finitely generated kernels. The proof uses Bestvina-Brady Morse theory facilitated by combinatorial arguments. We describe a variety of examples where the plan succeeds or fails. Among the successful examples are the right-angled reflection groups in $\mathbb H^4$ with fundamental domain the $120$-cell or the $24$-cell.

Locations

• Journal of the Institute of Mathematics of Jussieu - View
• arXiv (Cornell University) - View - PDF
• DataCite API - View