Abstract
We calculate the virtually cyclic dimension of the mapping class group of a sphere with at most six punctures. As an immediate consequence, we obtain the virtually cyclic dimension of the mapping class group of the twice-holed torus and of the closed genus-two surface.
For spheres with an arbitrary number of punctures, we give a new upper bound for the virtually cyclic dimension of their mapping class group, improving the recent bound of Degrijse and Petrosyan (2015).
Citation
Javier Aramayona. Daniel Juan-Pineda. Alejandra Trujillo-Negrete. "On the virtually cyclic dimension of mapping class groups of punctured spheres." Algebr. Geom. Topol. 18 (4) 2471 - 2495, 2018. https://doi.org/10.2140/agt.2018.18.2471
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