31 Pages
English

RELATIVE HYPERBOLICITY, CLASSIFYING SPACES, AND ...

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RELATIVE HYPERBOLICITY, CLASSIFYING SPACES, AND LOWER ALGEBRAIC K-THEORY. JEAN-FRANC¸OIS LAFONT AND IVONNE J. ORTIZ Abstract. For Γ a relatively hyperbolic group, we construct a model for the universal space among Γ-spaces with isotropy on the family VC of virtually cyclic subgroups of Γ. We provide a recipe for identifying the maximal infinite virtually cyclic subgroups of Coxeter groups which are lattices in O+(n, 1) = Isom(Hn).
  • adapted family
  • cyclic subgroups
  • γ3
  • ind γ λα
  • fundamental domain
  • hyperbolic group
  • cyclic subgroup
  • h3
  • groups
  • action

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Language English