Title

Finite Abelian Subgroups of the Mapping Class Group

Document Type

Article

Publication Date

12-2007

Abstract

The problem of enumeration of conjugacy classes of finite abelian subgroups of the mapping class group ℳσ of a closed, smooth, orientable surface S of genus σ ≥ 2 is considered. A complete method of enumeration is achieved for finite elementary abelian subgroups and steps are taken toward enumeration of finite abelian subgroups.