|
|||||
 |
|
|
|
|
|
The genus level
of a group
Matthew Arbo, Krystin Benkowski, Ben Coate, Hans Nordstrom, Chris Peterson and Aaron Wootton
Vol. 2 (2009), No. 3, 323–340
|
Abstract |
|
We introduce the notion of the genus level of a group as a tool to help classify finite conformal group actions on compact Riemann surfaces. We classify all groups of genus level and use our results to outline an algorithm to classify actions of -groups on compact Riemann surfaces. To illustrate our results, we provide a number of detailed examples. |
Keywords
automorphism groups of compact Riemann surfaces,
hyperelliptic surfaces, genus zero actions
|
Mathematical Subject Classification 2000
Primary: 14H37, 30F20
|
Milestones
Received: 5 November 2008
Revised: 2 July 2009
Accepted: 6 July 2009
Published: 3 October 2009
Communicated by Nigel Boston
|
Authors |
| Matthew Arbo | |
| University of Oregon Department of Mathematics Fenton Hall, 1222 Eugene, OR 97403 United States |
|
| http://uoregon.edu/~arbo | |
| Krystin Benkowski | |
| Western Michigan University Department of Mathematics 3319 Everett Tower Kalamazoo, MI 49008 United States |
|
| Ben Coate | |
| Rensselaer Polytechnic
Institute School of Architecture Greene Building 110 8th street Troy, NY 12180 United States |
|
| Hans Nordstrom | |
| University of Portland Department of Mathematics 5000 North Willamette Blvd. Portland, OR 97203 United States |
|
| http://faculty.up.edu/nordstro/ | |
| Chris Peterson | |
| Pomona College Department of Mathematics 610 North College Avenue Claremont, CA 91711 United States |
|
| Aaron Wootton | |
| University of Portland Department of Mathematics 5000 North Willamette Blvd. Portland, OR 97203 United States |
|
| http://faculty.up.edu/wootton/ | |
|
