Quasi-Isometries, Boundaries and JSJ-Decompositions of Relatively Hyperbolic Groups
Group Theory
2013-08-22 v3
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.
Keywords
Cite
@article{arxiv.1210.1166,
title = {Quasi-Isometries, Boundaries and JSJ-Decompositions of Relatively Hyperbolic Groups},
author = {Bradley Groff},
journal= {arXiv preprint arXiv:1210.1166},
year = {2013}
}
Comments
Added theorems concerning the structure of QI(G); minor corrections and clarifications; 18 pages, 5 figures