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 genera 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.
|Original language||English (US)|
|Number of pages||34|
|Journal||Geometric and Functional Analysis|
|State||Published - Apr 2006|
- Mapping class group
ASJC Scopus subject areas
- Geometry and Topology