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arXiv · 1210.1166

Quasi-Isometries, Boundaries and JSJ-Decompositions of Relatively Hyperbolic Groups

Bradley Groff
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Abstract

We demonstrate the quasi-isometry invariance of two important geometric structures for relatively hyperbolic groups: the coned space and the cusped space. As applications, we produce a JSJ-decomposition for relatively hyperbolic groups which is invariant under quasi-isometries and outer automorphisms, as well as a related splitting of the quasi-isometry groups of relatively hyperbolic groups.

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Bradley Groff. 2013-08-21. Quasi-Isometries, Boundaries and JSJ-Decompositions of Relatively Hyperbolic Groups. https://arxiv.org/abs/1210.1166

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