Ordering pure braid groups on closed surfaces
Geometric Topology
2007-05-23 v1 Group Theory
Abstract
We prove that the pure braid groups on closed, orientable surfaces are bi-orderable, and that the pure braid groups on closed, non-orientable surfaces have generalized torsion, thus they are not bi-orderable.
Keywords
Cite
@article{arxiv.math/0006155,
title = {Ordering pure braid groups on closed surfaces},
author = {Juan Gonzalez-Meneses},
journal= {arXiv preprint arXiv:math/0006155},
year = {2007}
}
Comments
6 pages, 3 figures