Displaying similar documents to “Bounded geometry in relatively hyperbolic groups.”

Some generalized Coxeter groups and their orbifolds.

Marcel Hagelberg, Rubén A. Hidalgo (1997)

Revista Matemática Iberoamericana

Similarity:

In this note we construct examples of geometric 3-orbifolds with (orbifold) fundamental group isomorphic to a (Z-extension of a) generalized Coxeter group. Some of these orbifolds have either euclidean, spherical or hyperbolic structure. As an application, we obtain an alternative proof of theorem 1 of Hagelberg, Maclaughlan and Rosenberg in [5]. We also obtain a similar result for generalized Coxeter groups.

On groups with linear sci growth

Louis Funar, Martha Giannoudovardi, Daniele Ettore Otera (2015)

Fundamenta Mathematicae

Similarity:

We prove that the semistability growth of hyperbolic groups is linear, which implies that hyperbolic groups which are sci (simply connected at infinity) have linear sci growth. Based on the linearity of the end-depth of finitely presented groups we show that the linear sci is preserved under amalgamated products over finitely generated one-ended groups. Eventually one proves that most non-uniform lattices have linear sci.