Nielsen equivalence in closed 2-orbifold groups

2020/04/20 by Ederson R. F. Dutra, Dutra, Ederson R. F.
Mathematics · #FOS: Mathematics #Geometric Topology (math.GT) #Group Theory (math.GR) #math.GR #math.GT

paper · pdf · doi:10.48550/arxiv.2004.09326

39 pages, 25 figures

arxiv created 2020/04/20 · arxiv updated 2020/04/21

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.

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