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Virtually Fibering Right-Angled Coxeter Groups

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 نشر من قبل Kasia Jankiewicz
 تاريخ النشر 2017
  مجال البحث
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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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