Effective Generation of Right-Angled Artin Groups in Mapping Class Groups

Ian Runnels

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arXiv · 2004.13585

Effective Generation of Right-Angled Artin Groups in Mapping Class Groups

Ian Runnels

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Abstract

We show that given a collection $X=\{f_1$, \ldots , $f_m\}$ of pure mapping classes on a surface $S$, there is an explicit constant N, depending only on $X$, such that their Nth powers $\{f_1^N$, \ldots , $f_m^N\}$ generate the expected right-angled Artin subgroup of MCG($S$). Moreover, we show that these subgroups are undistorted.

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Ian Runnels. 2020-04-28. Effective Generation of Right-Angled Artin Groups in Mapping Class Groups. https://arxiv.org/abs/2004.13585

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