A combination
theorem for Veech subgroups of the mapping class group,
with A. W. Reid
abstract
We prove a combination
theorem for Veech subgroups of the mapping class group analogous to the
first Maskit combination theorem for Kleinian groups in which the amalgamating
subgroup is of parabolic type. As a corollary, we construct subgroups
of the mapping class group (for all genus at least 2), which are isomorphic
to non-abelian surface groups in which all but one conjugacy class of elements
(up to powers) is pseudo-Anosov.
Slides from a talk at the Conference
on Combinatorial Topology in Mapping Class Groups. These
slides contain only a special case of the main combination theorem which
we prove. A more general version appears in the paper.