Abstract1.(1) We construct hyperbolic Coxeter groups with boundaries homeomorphic to Pontryagin surfaces.2.(2) For any given finite simplicial complex L we construct a finite simplicial complex K such that the link of every vertex of K is homeomorphic to L.3.(3) We construct an effective action of p-adic integers on boundaries of certain Coxeter groups
Kenneth Brown, Laurent Saloff-Coste, David HendersonWe study isoperimetric constants of and self-avo...
Abstract. Let C be a one- or two-sided Kazhdan–Lusztig cell in a Coxeter group (W,S), and let Red(C)...
Let C be a one- or two-sided Kazhdan–Lusztig cell in a Coxeter group (W, S), and let Red(C) be the s...
We study the geometry of median graphs and CAT(0) cube complexes by introducing two combinatorial ob...
For Coxeter groups acting non-cocompactly but with finite covolume on real hyperbolic space Hn, new...
This thesis concerns hyperbolic Coxeter polytopes, their reflection groups and associated combinator...
AbstractIn this paper we prove that every finitely generated Coxeter group has a finite index subgro...
For the finite simplicial graph Γ let WΓ be the corresponding right-angled Coxeter group. The author...
We find a sufficient condition for a nerve of a hyperbolic right-angled Coxeter group, under which t...
Given a complex of groups over a finite simplicial complex in the sense of Haefliger [Hae91], we giv...
"Geometry and Analysis of Discrete Groups and Hyperbolic Spaces". June 22~26, 2015. edited by Michih...
We show that any finitely generated Coxeter group acts properly discontinuously on a locally finite,...
AbstractThe symmetry group of a regular polytope p is a finite Coxeter group W. The intersection of ...
We observe that a large part of the volume of a hyperbolic polyhedron is taken by a tubular neighbou...
Niblo and Reeves [NR2] constructed a cubing for each Coxeter group using the hyperplanes of the Coxe...
Kenneth Brown, Laurent Saloff-Coste, David HendersonWe study isoperimetric constants of and self-avo...
Abstract. Let C be a one- or two-sided Kazhdan–Lusztig cell in a Coxeter group (W,S), and let Red(C)...
Let C be a one- or two-sided Kazhdan–Lusztig cell in a Coxeter group (W, S), and let Red(C) be the s...
We study the geometry of median graphs and CAT(0) cube complexes by introducing two combinatorial ob...
For Coxeter groups acting non-cocompactly but with finite covolume on real hyperbolic space Hn, new...
This thesis concerns hyperbolic Coxeter polytopes, their reflection groups and associated combinator...
AbstractIn this paper we prove that every finitely generated Coxeter group has a finite index subgro...
For the finite simplicial graph Γ let WΓ be the corresponding right-angled Coxeter group. The author...
We find a sufficient condition for a nerve of a hyperbolic right-angled Coxeter group, under which t...
Given a complex of groups over a finite simplicial complex in the sense of Haefliger [Hae91], we giv...
"Geometry and Analysis of Discrete Groups and Hyperbolic Spaces". June 22~26, 2015. edited by Michih...
We show that any finitely generated Coxeter group acts properly discontinuously on a locally finite,...
AbstractThe symmetry group of a regular polytope p is a finite Coxeter group W. The intersection of ...
We observe that a large part of the volume of a hyperbolic polyhedron is taken by a tubular neighbou...
Niblo and Reeves [NR2] constructed a cubing for each Coxeter group using the hyperplanes of the Coxe...
Kenneth Brown, Laurent Saloff-Coste, David HendersonWe study isoperimetric constants of and self-avo...
Abstract. Let C be a one- or two-sided Kazhdan–Lusztig cell in a Coxeter group (W,S), and let Red(C)...
Let C be a one- or two-sided Kazhdan–Lusztig cell in a Coxeter group (W, S), and let Red(C) be the s...