Surface symmetries and $PSL_2(p)$
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- by Murad Özaydin, Charlotte Simmons and Jennifer Taback PDF
- Trans. Amer. Math. Soc. 359 (2007), 2243-2268 Request permission
Abstract:
We classify, up to conjugacy, all orientation-preserving actions of $PSL_2(p)$ on closed connected orientable surfaces with spherical quotients. This classification is valid in the topological, PL, smooth, conformal, geometric and algebraic categories and is related to the Inverse Galois Problem.References
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Additional Information
- Murad Özaydin
- Affiliation: Department of Mathematics, University of Oklahoma, Norman, Oklahoma 73019
- Email: mozaydin@math.ou.edu
- Charlotte Simmons
- Affiliation: Department of Marthematics and Statistics, University of Central Oklahoma, Edmond, Oklahoma 73034
- Email: cksimmons@ucok.edu
- Jennifer Taback
- Affiliation: Department of Mathematics, Bowdoin College, Brunswick, Maine 04011
- Email: jtaback@bowdoin.edu
- Received by editor(s): February 1, 2003
- Received by editor(s) in revised form: March 14, 2005
- Published electronically: December 19, 2006
- © Copyright 2006 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 359 (2007), 2243-2268
- MSC (2000): Primary 57M60; Secondary 12F12, 20H10, 30F10
- DOI: https://doi.org/10.1090/S0002-9947-06-04011-6
- MathSciNet review: 2276619