Nielsen equivalence in closed 2-orbifold groups
Group Theory
2020-04-21 v1 Geometric Topology
Abstract
We prove that any generating tuple of the fundamental group of a sufficiently large 2-dimensional orbifold is represented by an almost orbifold covering. As a corollary we obtain a generalization of Louder's Theorem which asserts that any two generating tuples of the fundamental group of a closed surface are Nielsen equivalent.
Cite
@article{arxiv.2004.09326,
title = {Nielsen equivalence in closed 2-orbifold groups},
author = {Ederson R. F. Dutra},
journal= {arXiv preprint arXiv:2004.09326},
year = {2020}
}
Comments
39 pages, 25 figures