Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8897305 | Journal of Pure and Applied Algebra | 2018 | 16 Pages |
Abstract
Let p be a prime integer and let râ¥3 be an integer so that pâ¥5râ7. We show that a closed Riemann surface S of genus gâ¥2 has at most one p-group H of conformal automorphisms so that S/H has genus zero and exactly r cone points. This, in particular, asserts that, for r=3 and pâ¥11, the minimal field of definition of S coincides with that of (S,H). Another application of this fact, for the case that S is pseudo-real, is that Aut(S)/H must be either trivial or a cyclic group and that r is necessarily even. This generalizes a result due to Bujalance-Costa for the case of pseudo-real cyclic p-gonal Riemann surfaces.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Rubén A. Hidalgo,