A combination theorem for Veech subgroups of the mapping class group

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

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.
A few minor typos corrected

Keywords

Geometric Topology, Group Theory, 57M60; 30F60

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/72719

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0410041
 http://arxiv.org/abs/math/0410041

Collections

arXiv