Virtually Fibering Right-Angled Coxeter Groups
Group Theory
2021-07-01 v1
Abstract
We show that certain right-angled Coxeter groups have finite index subgroups that quotient to 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 with fundamental domain the -cell or the -cell.
Keywords
Cite
@article{arxiv.1711.11505,
title = {Virtually Fibering Right-Angled Coxeter Groups},
author = {Kasia Jankiewicz and Sergey Norin and Daniel T. Wise},
journal= {arXiv preprint arXiv:1711.11505},
year = {2021}
}
Comments
30 pages, to appear in J. Inst. Math. Jussieu