Nielsen equivalence in triangle groups

2021/01/13 by Ederson Dutra, Ederson R. F. Dutra, Dutra, Ederson R. F.
Computer Science · Mathematics · #FOS: Mathematics #Finite Group Theory Research #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Group Theory (math.GR) #math.GR #math.GT #semigroups and automata theory

paper · pdf · doi:10.48550/arxiv.2101.05344

13 pages, 12 figures

arxiv created 2021/01/13 · openalex publication_date 2021/01/13 · arxiv updated 2021/01/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We extend the result of \citeDutra to generating pairs of triangle groups, that is, we show that any generating pair of a triangle group is represented by a special almost orbifold covering.

Related

• Nielsen equivalence in closed 2-orbifold groups
• Nielsen equivalence in closed surface groups
• Generating pairs of 2-bridge knot groups
• Nielsen equivalence in Gupta-Sidki groups
• Rigid representations of triangle groups