The extended mapping class group can be generated by two torsions

被引：3

作者：

Du, Xiaoming ^{[1
]}

机构：

[1] South China Univ Technol, Sch Math, 381 Wushan Rd, Guangzhou 510630, Guangdong, Peoples R China

来源：

JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS | 2017年 / 26卷 / 11期

关键词：

Mapping class group; generator; torsion; PANTS COMPLEX; FINITE-SET; ELEMENTS; SURFACE;

D O I：

10.1142/S0218216517500614

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let S-g be the closed-oriented surface of genus g and let Mod(+/-)(S-g) be the extended mapping class group of S-g. When the genus is at least 5, we prove that Mod(+/-)(S-g) can be generated by two torsion elements. One of these generators is of order 2, and the other one is of order 4g + 2.

引用

页数：9

共 17 条

[1] Every mapping class group is generated by 6 involutions [J].