A presentation for the baseleaf preserving mapping class group of the punctured solenoid

被引：6
|
作者：
Bonnot, Sylvain [1 ]
Penner, Robert C. [2 ]
Saric, Dragomir [1 ]
机构：
[1] SUNY Stony Brook, Inst Math Sci, Stony Brook, NY 11794 USA
[2] Univ So Calif, Dept Phys Astron, Los Angeles, CA 90089 USA
来源：
ALGEBRAIC AND GEOMETRIC TOPOLOGY | 2007年 / 7卷
关键词：
D O I：
10.2140/agt.2007.7.1171
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We give a presentation for the baseleaf preserving mapping class group MCG(H) of the punctured solenoid H. The generators for our presentation were introduced previously, and several relations among them were derived. In addition, we show that MCG(R) has no non-trivial central elements. Our main tool is a new complex of triangulations of the disk upon which MCG(H) acts.
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页码：1171 / 1199
页数：29
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