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

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2022-01-01

Author

Altunöz, Tülin
Pamuk, Mehmetcik
Yildiz, Oguz

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

Subject Keywords

Involutions, Mapping class groups, Nonorientable surfaces

URI

https://hdl.handle.net/11511/97730

Journal

Bulletin of the Brazilian Mathematical Society

DOI

https://doi.org/10.1007/s00574-022-00299-4

Collections

Department of Mathematics, Article

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Citation Formats

T. Altunöz, M. Pamuk, and O. Yildiz, “Generating the Mapping Class Group of a Nonorientable Surface by Two Elements or by Three Involutions,” Bulletin of the Brazilian Mathematical Society, pp. 0–0, 2022, Accessed: 00, 2022. [Online]. Available: https://hdl.handle.net/11511/97730.