On Galois group of factorized covers of curves

  • Angel Carocca

    Universidad de La Frontera, Temuco, Chile
  • Martha Romero Rojas

    Universidad del Cauca, Popayán, Colombia

Abstract

Let be a sequence of covers of compact Riemann surfaces. In this work we study and completely characterize the Galois group of under the following properties: is a simple cover of degree and is a Galois unramified cover of degree with abelian Galois group of type .

We prove that . Furthermore, we give a natural geometric generator system of obtained by studying the action on the compact Riemann surface associated to the Galois closure of

Cite this article

Angel Carocca, Martha Romero Rojas, On Galois group of factorized covers of curves. Rev. Mat. Iberoam. 34 (2018), no. 4, pp. 1853–1866

DOI 10.4171/RMI/1046