Boundaries of Coxeter groups and simplicial complexes with given links Original Research Article

1. (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