Finite Abelian Subgroups of the Mapping Class Group

Details Finite Abelian Subgroups of the Mapping Class Group Finite Abelian Subgroups of the Mapping Class Group

2006-11-21

arxiv.org/abs/math/0611650v1

Mathematics

Algebraic Topology

41 pages

Scientific paper

The problem of enumeration of conjugacy classes of finite abelian subgroups
of the mapping class group $\mathcal{M}_{\sigma}$ of a compact closed surface
$X$ of genus $\sigma$ 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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