%0 Journal Article
%T A Special Subgroup of the Surface Braid Group
%A D. Jeremy Copeland
%J Mathematics
%D 2004
%I arXiv
%X Herein we prove that if $M$ is a compact oriented Riemann surface of genus $g$, and $M^{[n]}$ is the classifying space of $n$ distinct, unordered points on $M$, then the kernel of the map $\pi_1(M^{[n]})\to H_1(M)$ is generated by transpositions for sufficiently large $n$. Specifically, we treat $M$ as a polyhedron, and the edge set of $M$ generates this group.
%U http://arxiv.org/abs/math/0409461v1