A small normal generating set for the handlebody subgroup of the Torelli group
Geometric Topology
2016-07-25 v1 Group Theory
Abstract
We prove that the handlebody subgroup of the Torelli group of an orientable surface is generated by genus one BP-maps. As an application, we give a normal generating set for the handlebody subgroup of the level mapping class group of an orientable surface.
Keywords
Cite
@article{arxiv.1607.06553,
title = {A small normal generating set for the handlebody subgroup of the Torelli group},
author = {Genki Omori},
journal= {arXiv preprint arXiv:1607.06553},
year = {2016}
}
Comments
13 pages, 10 figures