Word hyperbolic extensions of surface groups
Geometric Topology
2015-05-06 v2 Group Theory
Abstract
Let S be a closed surface of genus at least 2. We show that a finitely generated group G which is an extension of the fundamental group H of S is word hyperbolic if and only the orbit map of the quotient group G/H on the complex of curves is a quasi-isometric embedding.This in turn is equivalent to G/H being convex cocompact in the sense of Farb and Mosher.
Cite
@article{arxiv.math/0505244,
title = {Word hyperbolic extensions of surface groups},
author = {Ursula Hamenstaedt},
journal= {arXiv preprint arXiv:math/0505244},
year = {2015}
}
Comments
Writing improved, references corrected