A combination theorem for Veech subgroups of the mapping class group

Details A combination theorem for Veech subgroups of the mapping class group A combination theorem for Veech subgroups of the mapping class group

2004-10-03

arxiv.org/abs/math/0410041v2

Mathematics

Geometric Topology

A few minor typos corrected

Scientific paper

In this paper we prove a combination theorem for Veech subgroups of the mapping class group analogous to the first Klein-Maskit combination theorem for Kleinian groups in which two Fuchsian subgroups are amalgamated along a parabolic subgroup. As a corollary, we construct subgroups of the mapping class group (for all genus at least 2), which are isomorphic to non-abelian closed surface groups in which all but one conjugacy class (up to powers) is pseudo-Anosov.

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