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

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

2006-08-02

arxiv.org/abs/math/0608066v1

Mathematics

Dynamical Systems

14 pages, 1 figure

Scientific paper

We give a presentation for the baseleaf preserving mapping class group
$Mod(\S)$ of the punctured solenoid $\S$. The generators for our presentation
were introduced previously, and several relations among them were derived. In
addition, we show that $Mod(\S)$ has no non-trivial central elements. Our main
tool is a new complex of triangulations of the disk upon which $Mod(\S)$ acts.

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