Finite Abelian Subgroups of the Mapping Class Group

Abstract

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.

41 pages

References in corpus (1)

• The Full Automorphism Group of a Cyclic $p$-gonal Surface

Cited by in corpus (1)

• A Lower Bound for the Number of Group Actions on a Compact Riemann Surface