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QUASI-ISOMETRIES, BOUNDARIES AND JSJ-DECOMPOSITIONS OF RELATIVELY HYPERBOLIC GROUPS
by
Bradley W. Groff
| Citations: | 1 - 0 self |
BibTeX
@MISC{Groff_quasi-isometries,boundaries,
author = {Bradley W. Groff},
title = {QUASI-ISOMETRIES, BOUNDARIES AND JSJ-DECOMPOSITIONS OF RELATIVELY HYPERBOLIC GROUPS},
year = {}
}
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Abstract
Abstract. We demonstrate the quasi-isometry invariance of two important geometric struc-tures 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. 1.
