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

被引：0
|
作者：
Altunoz, Tuelin [1 ]
Pamuk, Mehmetcik [2 ]
Yildiz, Oguz [2 ]
机构：
[1] Baskent Univ, Fac Engn, Ankara, Turkiye
[2] Middle East Tech Univ, Dept Math, Ankara, Turkiye
来源：
MEDITERRANEAN JOURNAL OF MATHEMATICS | 2023年 / 20卷 / 04期
关键词：
Mapping class groups; punctured surfaces; involutions; generating sets; FINITE-SET;
D O I：
10.1007/s00009-023-02439-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
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页数：16
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