#### Title

Symmetries of Riemann Surfaces on Which PSL(2,q) Acts as a Hurwitz Automorphism Group

#### Document Type

Article

#### Publication Date

1-29-1996

#### 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.

#### Recommended Citation

Broughton, S.A., Bujalance, E., Costa, A.F., Gamboa, J.M., & Gromadzki, G. (1996). Symmetries of Riemann surfaces on which PSL(2.q) acts as a Hurwitz automorphism group. In Journal of Pure and Applied Algebra, 106, 113-126.