On the Involution Generators of the Mapping Class Group of a Punctured Surface

Let Mod(S-g,S-p) denote the mapping class group of a connected orientable surface of genus g with p punctures. For g = 14 and even p = 10, we prove that Mod(Sg,p) can be generated by three involutions. For g = 13 and even p = 9, we prove that Mod(S-g,S-p) can be generated by four involutions. Moreover, for even p = 4 and 3 = g = 6, Mod(S-g,S-p) can be generated by four involutions.