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