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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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