Finite abelian subgroups of the mapping class group

被引：15

作者：

Broughton, S. Allen ^{[1
]}

Wootton, Aaron ^{[2
]}

机构：

[1] Dept Math, Terre Haute, IN 47803 USA

[2] Univ Portland, Dept Math, Portland, OR 97203 USA

来源：

ALGEBRAIC AND GEOMETRIC TOPOLOGY | 2007年 / 7卷

关键词：

D O I：

10.2140/agt.2007.7.1651

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The problem of enumeration of conjugacy classes of finite abelian subgroups of the mapping class group M-sigma of a closed, smooth, orientable surface S of genus sigma >= 2 is considered. A complete method of enumeration is achieved for finite elementary abelian subgroups and steps are taken toward enumeration of finite abelian subgroups.

引用

页码：1651 / 1697

页数：47

共 35 条

[1]

[Anonymous], 1980, LECT NOTES MATH

[2]

AVERILL I, 2002, 0213 RHIT

[3] EXTREMAL PROBLEM FOR QUASICONFORMAL MAPPINGS AND A THEOREM BY THURSTON [J].