A combination theorem for Veech subgroups of the mapping class group

Christopher J. Leininger; Alan W. Reid

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arXiv · math/0410041

A combination theorem for Veech subgroups of the mapping class group

Christopher J. Leininger·Alan W. Reid

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Abstract

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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BibTeX RIS

Christopher J. Leininger, Alan W. Reid. 2005-05-10. A combination theorem for Veech subgroups of the mapping class group. https://arxiv.org/abs/math/0410041

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