A combination theorem for Veech subgroups of the mapping class group
几何拓扑
2007-05-23 v2 群论
摘要
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.
引用
@article{arxiv.math/0410041,
title = {A combination theorem for Veech subgroups of the mapping class group},
author = {Christopher J. Leininger and Alan W. Reid},
journal= {arXiv preprint arXiv:math/0410041},
year = {2007}
}
备注
A few minor typos corrected