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arXiv · 1711.11505

Virtually Fibering Right-Angled Coxeter Groups

Kasia Jankiewicz·Sergey Norin·Daniel T. Wise
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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.

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Kasia Jankiewicz, Sergey Norin, Daniel T. Wise. 2017-11-30. Virtually Fibering Right-Angled Coxeter Groups. https://doi.org/10.1017/s1474748019000422

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