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Finite Abelian Subgroups of the Mapping Class Group

S. Allen Broughton·A. Wootton
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Abstract

The problem of enumeration of conjugacy classes of finite abelian subgroups of the mapping class group $\mathcal{M}_σ$ of a compact closed surface $X$ of genus $σ$ is considered. A complete method of enumeration is achieved for finite elementary abelian subgroups and steps are taken toward enumeration of finite abelian subgroups.

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BibTeXRIS

S. Allen Broughton, A. Wootton. 2006-11-21. Finite Abelian Subgroups of the Mapping Class Group. https://doi.org/10.2140/agt.2007.7.1651

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