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Word hyperbolic extensions of surface groups

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arxiv math/0505244 v2 pith:ZEVS5GPQ submitted 2005-05-12 math.GT math.GR

Ursula Hamenstaedt This is my paper · ORCID
classification math.GTmath.GR
keywords grouphyperbolicsurfacewordclosedcocompactcomplexconvex
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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.

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Cited by 6 Pith papers

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