On residual properties of pure braid groups of closed surfaces
Group Theory
2007-05-30 v1
Abstract
We prove that pure braid groups of closed surface are almost-direct products of residually torsion free nilpotent groups and hence residually torsion free nilpotent. As a Corollary, we prove also that braid groups on 2 strands of closed surfaces are residually nilpotent.
Keywords
Cite
@article{arxiv.0705.4201,
title = {On residual properties of pure braid groups of closed surfaces},
author = {Valerij G. Bardakov and Paolo Bellingeri},
journal= {arXiv preprint arXiv:0705.4201},
year = {2007}
}