Volume 7, issue 4 (2007)

Download this article
Download this article For screen
For printing
Recent Issues

Volume 15, 1 issue

Volume 14, 6 issues

Volume 13, 6 issues

Volume 12, 4 issues

Volume 11, 5 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 4 issues

Volume 7, 4 issues

Volume 6, 5 issues

Volume 5, 4 issues

Volume 4, 2 issues

Volume 3, 2 issues

Volume 2, 2 issues

Volume 1, 2 issues

The Journal
About the Journal
Editorial Board
Editorial Interests
Author Index
Editorial procedure
Submission Guidelines
Submission Page
Author copyright form
G&T Publications
Author Index
To Appear
ISSN (electronic): 1472-2739
ISSN (print): 1472-2747
Finite abelian subgroups of the mapping class group

S Allen Broughton and Aaron Wootton

Algebraic & Geometric Topology 7 (2007) 1651–1697

arXiv: math.AT/0611650


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

finite subgroups of mapping class groups, automorphism groups of surfaces
Mathematical Subject Classification 2000
Primary: 20F34, 20F36, 14H37
Secondary: 14H30, 14J50
Received: 21 November 2006
Revised: 13 September 2007
Accepted: 13 September 2007
Published: 17 December 2007
S Allen Broughton
Department of Mathematics
Rose Hulman Institute of Technology
Terre Haute, IN 47803
Aaron Wootton
Department of Mathematics
The University of Portland
Portland, OR 97203