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Article
Finite Abelian Subgroups of the Mapping Class Group
Faculty Publications - Mathematics
  • S. Allen Broughton, Rose-Hulman Institute of Technology
  • Aaron Wootton, University of Portland
Document Type
Article
Publication Date
12-1-2007
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.

Citation Information
S. Allen Broughton and Aaron Wootton. "Finite Abelian Subgroups of the Mapping Class Group" (2007)
Available at: http://works.bepress.com/allen_broughton/1/