Repositorio
Institucional

Hidalgo, Ruben A.

p-Groups acting on Riemann surfaces

ELSEVIER SCIENCE BV

JOURNAL OF PURE AND APPLIED ALGEBRA

en

Let p be a prime integer and let r >= 3 be an integer so that p >= 5r - 7. We show that a closed Riemann surface S of genus g >= 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 p >= 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. (C) 2018 Elsevier B.V. All rights reserved.

Artículo original

Partially supported by Projects FONDECYT 1150003 and Anillo ACT 1415 PIA-CONICYT.

Parcialmente financiado por los Proyectos FONDECYT 1150003 y Anillo ACT 1415 PIA-CONICYT.

10.1016/j.jpaa.2018.02.026

pdf

http://dx.doi.org/10.1016/j.jpaa.2018.02.026

Mathematics, Applied# Mathematics

Matemáticas Puras

Otras Especialidades de Matemáticas

Matemáticas Aplicadas

WOS:000439538700019

p-Groups acting on Riemann surfaces

Artículo original

version publicada

ELSEVIER SCIENCE BV

JOURNAL OF PURE AND APPLIED ALGEBRA

Matemáticas Aplicadas# Matemáticas

0022-4049

en

ANID FONDECYT 1150003#ANID ACT 1415

ANID FONDECYT 1150003

ANID Anillo ACT 1415 PIA-CONICYT

Partially supported by Projects FONDECYT 1150003 and Anillo ACT 1415 PIA-CONICYT.

pdf

hibrida#verde

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