Algebraic & Geometric Topology 7 (2007) 1651–1697

DOI: 10.2140/agt.2007.7.1651

Abstract

The problem of enumeration of conjugacy classes of finite abelian subgroups of the mapping class group M_σ 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.

Keywords

finite subgroups of mapping class groups, automorphism groups of surfaces

Mathematical Subject Classification

Primary: 14H37, 20F34, 20F36

Secondary: 14H30, 14J50

References

Publication

Received: 21 November 2006
Revised: 13 September 2007
Accepted: 13 September 2007
Published: 17 December 2007

Authors