Combination of convergence groups
Group Theory
2014-11-11 v3
Abstract
We state and prove a combination theorem for relatively hyperbolic groups seen as geometrically finite convergence groups. For that, we explain how to contruct a boundary for a group that is an acylindrical amalgamation of relatively hyperbolic groups over a fully quasi-convex subgroup. We apply our result to Sela's theory on limit groups and prove their relative hyperbolicity. We also get a proof of the Howson property for limit groups.
Cite
@article{arxiv.math/0203258,
title = {Combination of convergence groups},
author = {Francois Dahmani},
journal= {arXiv preprint arXiv:math/0203258},
year = {2014}
}
Comments
Published in Geometry and Topology at http://www.maths.warwick.ac.uk/gt/GTVol7/paper27.abs.html