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). We use the information we obtain to explicitly compute the lower algebraicK-theory of the Coxeter group Γ3 (a non-uniform lattice in O+(3, 1)). Part of this computation involves calculating certain Waldhausen Nil-groups for Z[D2], Z[D3]
We determine the large scale geometry of the minimal displacement set of a hyperbolic isometry of a ...
Niblo and Reeves [NR2] constructed a cubing for each Coxeter group using the hyperplanes of the Coxe...
We characterize relatively hyperbolic groups whose reduced C ∗-algebra is simple as those, which hav...
For Γ a relatively hyperbolic group, we construct a model for the universal space among Γ-spaces wit...
Abstract. We explicitly compute the lower algebraic K-theory of Γ3 a dis-crete subgroup of the group...
We prove that any finitely generated group which splits as a graph of free groups with cyclic edge g...
We study the geometry of nonrelatively hyperbolic groups. Generalizing a result of Schwartz, any qua...
Abstract. We explicitly compute the lower algebraic K-theory of!3 a discrete subgroup of the group o...
We consider a class of relatively hyperbolic groups in the sense of Gromov and use an argument model...
Abstract. A hyperbolic 3-simplex reflection group is a Coxeter group arising as a lattice in O+(3, 1...
We construct a model for the universal space for G-actions with virtually cyclic stabilizers for gro...
We build quasi-isometry invariants of relatively hyperbolic groups which detect the hyperbolic parts...
The rank of a hierarchically hyperbolic space is the maximal number of unbounded factors in a standa...
Abstract. Let M be a complete oriented hyperbolic 3–manifold of finite vol-ume. Using classifying sp...
AbstractThe property that the polynomial cohomology with coefficients of a finitely generated discre...
We determine the large scale geometry of the minimal displacement set of a hyperbolic isometry of a ...
Niblo and Reeves [NR2] constructed a cubing for each Coxeter group using the hyperplanes of the Coxe...
We characterize relatively hyperbolic groups whose reduced C ∗-algebra is simple as those, which hav...
For Γ a relatively hyperbolic group, we construct a model for the universal space among Γ-spaces wit...
Abstract. We explicitly compute the lower algebraic K-theory of Γ3 a dis-crete subgroup of the group...
We prove that any finitely generated group which splits as a graph of free groups with cyclic edge g...
We study the geometry of nonrelatively hyperbolic groups. Generalizing a result of Schwartz, any qua...
Abstract. We explicitly compute the lower algebraic K-theory of!3 a discrete subgroup of the group o...
We consider a class of relatively hyperbolic groups in the sense of Gromov and use an argument model...
Abstract. A hyperbolic 3-simplex reflection group is a Coxeter group arising as a lattice in O+(3, 1...
We construct a model for the universal space for G-actions with virtually cyclic stabilizers for gro...
We build quasi-isometry invariants of relatively hyperbolic groups which detect the hyperbolic parts...
The rank of a hierarchically hyperbolic space is the maximal number of unbounded factors in a standa...
Abstract. Let M be a complete oriented hyperbolic 3–manifold of finite vol-ume. Using classifying sp...
AbstractThe property that the polynomial cohomology with coefficients of a finitely generated discre...
We determine the large scale geometry of the minimal displacement set of a hyperbolic isometry of a ...
Niblo and Reeves [NR2] constructed a cubing for each Coxeter group using the hyperplanes of the Coxe...
We characterize relatively hyperbolic groups whose reduced C ∗-algebra is simple as those, which hav...
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