Arbitrarily high dimensional hyperbolic right-angled Coxeter groups that virtually fiber

  • Venue:

    Geb. 20.30, SR 2.058

  • Date:


  • Speaker:

    Gangotryi Sorcar

  • Time:

    15:45 Uhr

  • Abstract: A group is said to virtually fiber if it has a finite index subgroup that surjects onto Z with a finitely generated kernel. In this talk, we give an iterative procedure that produces infinitely many isomorphism classes of hyperbolic right-angled Coxeter groups (RACGs) in arbitrarily high virtual cohomological dimension > 2 that virtually fiber. Our methods involve a novel generalization of a simplicial thickening construction introduced by Osajda (to produce hyperbolic RACGs with arbitrarily high vcd) which allows us to then apply a combinatorial criterion given by Jankiewicz, Norin, Wise that implies virtual fibering of RACGs. This is joint work with Jean-Francois Lafont, Matthew Stover, Barry Minemyer, and Joseph Wells.