Generating the Mapping Class Group of a Nonorientable Surface by Two Elements or By Three Involutions

2021/04/22 by Tüli̇n Altunöz, Altunoz, Tulin, Mehmetci̇k Pamuk +3 · 1 citation
Mathematics · #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Mathematical Dynamics and Fractals

paper · pdf · doi:10.48550/arxiv.2104.10958

openalex publication_date 2021/04/22 · openalex created_date 2022/07/25 · openalex updated_date 2026/07/28

Abstract

We prove that, for g≥19 the mapping class group of a nonorientable surface of genus g, \textrmMod(N_g), can be generated by two elements, one of which is of order g. We also prove that for g≥26, \textrmMod(N_g) can be generated by three involutions if g≥26.

Cited by

• Minimal Generation of Mapping Class Groups: A Survey of the Nonorientable Case

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• Minimal Generation of Mapping Class Groups: A Survey of the Nonorientable Case