Published January 1, 2023
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GENERATING THE EXTENDED MAPPING CLASS GROUP BY THREE INVOLUTIONS
- 1. Middle East Tech Univ, Dept Math, Ankara, Turkiye
Description
We prove that the extended mapping class group, Mod*(S-g), of a connected orientable surface of genus g, can be generated by three involutions for g = 5. In the presence of punctures, we prove that Mod*(S-g,S-p) can be generated by three involutions for g =10 and p = 6 (with the exception that for g = 11, p should be at least 15).
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