FINITE PRESENTATIONS OF CENTRALLY EXTENDED MAPPING CLASS GROUPS

被引：1

作者：

Nosaka, Takefumi ^{[1
]}

机构：

[1] Tokyo Inst Technol, Dept Math, Meguro Ku, 2-12-1 Ookayama, Tokyo 1528551, Japan

来源：

KYUSHU JOURNAL OF MATHEMATICS | 2019年 / 73卷 / 01期

关键词：

mapping class group; central extension;

D O I：

10.2206/kyushujm.73.103

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We describe a finite presentation of T-g,T-r for g >= 3. Here T-g,T-r is the universal central extension of the mapping class group of the surface of genus g with r-boundaries. We also investigate the cases of g = 2 and 3, and give an application.

引用

页码：103 / 113

页数：11

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