Abelian subgroups of the mapping class groups for non-orientable surfaces
Geometric Topology
2021-07-27 v2
Abstract
Birman-Lubotzky-McCarthy proved that any abelian subgroup of the mapping class groups for orientable surfaces is finitely generated. We apply Birman-Lubotzky-McCarthy's arguments to the mapping class groups for non-orientable surfaces. We especially find a finitely generated group isomorphic to a given torsion-free subgroup of the mapping class groups.
Cite
@article{arxiv.1608.04501,
title = {Abelian subgroups of the mapping class groups for non-orientable surfaces},
author = {Erika Kuno},
journal= {arXiv preprint arXiv:1608.04501},
year = {2021}
}
Comments
10 pages, 3 figures