## A presentation for the baseleaf preserving mapping class group of the punctured solenoid.(English)Zbl 1181.57024

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

### MSC:

 57M99 General low-dimensional topology 20F65 Geometric group theory
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### References:

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