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Publisher’s Note Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations
We prove that, for g≥19\documentclass[12pt]{minimal}\usepackage{amsmath}\usepackage{wasysym}\usepackage{amsfonts}\usepackage{amssymb}\usepackage{amsbsy}\usepackage{mathrsfs}\usepackage{upgreek}\setlength{\oddsidemargin}{-69pt}\begin{document}$$g\ge 19$$\end{document} the mapping class group of a nonorientable surface of genus g, Mod(Ng)\documentclass[12pt]{minimal}\usepackage{amsmath}\usepackage{wasysym}\usepackage{amsfonts}\usepackage{amssymb}\usepackage{amsbsy}\usepackage{mathrsfs}\usepackage{upgreek}\setlength{\oddsidemargin}{-69pt}\begin{document}$$\mathrm{Mod}(N_g)$$\end{document}, can be generated by two elements, one of which is of order g. We also prove that for g≥26\documentclass[12pt]{minimal}\usepackage{amsmath}\usepackage{wasysym}\usepackage{amsfonts}\usepackage{amssymb}\usepackage{amsbsy}\usepackage{mathrsfs}\usepackage{upgreek}\setlength{\oddsidemargin}{-69pt}\begin{document}$$g\ge 26$$\end{document}, Mod(Ng)\documentclass[12pt]{minimal}\usepackage{amsmath}\usepackage{wasysym}\usepackage{amsfonts}\usepackage{amssymb}\usepackage{amsbsy}\usepackage{mathrsfs}\usepackage{upgreek}\setlength{\oddsidemargin}{-69pt}\begin{document}$$\mathrm{Mod}(N_g)$$\end{document} can be generated by three involutions.
"Bulletin of the Brazilian Mathematical Society, New Series" – Springer Journals
Published: Dec 1, 2022
Keywords: Mapping class groups; Nonorientable surfaces; Involutions; 57K20; 20F38; 20F05
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