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Symmetries of Riemann surfaces on which PSL(2,q) acts as a Hurwitz automorphism group

Gamboa Mutuberria, José Manuel and Broughton, SA and Bujalance, E. and Costa, F.A. and Gromadzki, G. (1996) Symmetries of Riemann surfaces on which PSL(2,q) acts as a Hurwitz automorphism group. Journal Of Pure And Applied Algebra, 106 (2). pp. 113-126. ISSN 0022-4049

Official URL: http://www.sciencedirect.com/science/journal/00224049

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Abstract

Let X be a compact Riemann surface and Aut(X) be its automorphism group. An automorphism of order 2 reversing the orientation is called a symmetry. The authors together with D. Singerman have been working on symmetries of Riemann surfaces in the last decade. In this paper, the symmetry type St(X) of X is defined as an unordered list of species of conjugacy classes of symmetries of X, and for a class of particular surfaces, St(X) is found. This class consists of Riemann surfaces on which PSL(2, q) acts as a Hurwitz group. An algorithm to calculate the symmetry type of this class is provided.

Item Type:Article
Uncontrolled Keywords:Hurwitz group; compact Riemann surface; automorphism group; symmetry
Subjects:Sciences > Mathematics > Functions
ID Code:15416
Deposited On:30 May 2012 08:43
Last Modified:30 May 2012 08:43

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