Complex of Relatively Hyperbolic Groups

Abstract

In this article, we prove a combination theorem for a complex of relatively hyperbolic groups. It is a generalization of Martin's \cite{martin} work for combination of hyperbolic groups over a finite $M_K$-simplicial complex, where $k\le 0$.

17 pages, Major revision done

References in corpus (7)

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• Packing subgroups in relatively hyperbolic groups
• Relative Hyperbolicity, Trees of Spaces and Cannon-Thurston Maps
• A Combination Theorem for Strong Relative Hyperbolicity
• A Combination Theorem for Metric Bundles
• Complexes of Groups and Boundaries
• Limit sets of relatively hyperbolic groups