Abstract
Let Σg, b denote a closed oriented surface of genus g with b punctures and let Mod(Σg, b) denote its mapping class group. Kassabov showed that Mod(Σg, b) is generated by 4 involutions if g > 7 or g = 7 and b is even, 5 involutions if g > 5 or g = 5 and b is even, and 6 involutions if g > 3 or g = 3 and b is even. We proved that Mod(Σg, b) is generated by 4 involutions if g = 7 and b is odd, and 5 involutions if g = 5 and b is odd.
Original language | English |
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Pages (from-to) | 303-312 |
Number of pages | 10 |
Journal | Tokyo Journal of Mathematics |
Volume | 34 |
Issue number | 2 |
DOIs | |
Publication status | Published - 2017 |
Externally published | Yes |
ASJC Scopus subject areas
- Mathematics(all)