### Abstract

Let Σ_{g, b} denote a closed oriented surface of genus g with b punctures and let Mod(Σ_{g, b}) denote its mapping class group. Kassabov showed that Mod(Σ_{g, 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(Σ_{g, 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 - Jan 1 2017 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Mathematics(all)