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Free products of abelian groups in mapping class groups

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arxiv 2103.05144 v2 pith:B4ESW7RV submitted 2021-03-09 math.GT

Christopher Loa This is my paper · ORCID
classification math.GT
keywords classgroupsmappingabelianconstructdowdall-durham-leininger-sistoexamplesfamily
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abstract

We construct a new family of examples of parabolically geometrically finite subgroups of the mapping class group in the sense of Dowdall-Durham-Leininger-Sisto and prove they are undistorted in Mod($S$).

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  1. Constructing reducibly geometrically finite subgroups of the mapping class group

    math.GT 2025-01 accept novelty 7.0 of 10

    Theorems A, B, and C construct new reducibly geometrically finite subgroups of mapping class groups, including right-angled Artin subgroups and free products of reducible subgroups.

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