Complete Classification of Degree 7 for Genus 1

Peshawa M.  Khudhur

doi:10.24996/ijs.2021.62.2.25

Authors

Peshawa M. Khudhur Department of Mathematics, Faculty of Scinence , Soran University, Kurdistan Region, Iraq Department of Petroleum and Mining Engineering, Petroleum and Mining Engineering, Tishk International University, Kurdistan Region, Iraq

DOI:

https://doi.org/10.24996/ijs.2021.62.2.25

Keywords:

Monodromy Groups, Genus one Systems, Primitive Groups

Abstract

Assume that is a meromorphic fuction of degree n where X is compact Riemann surface of genus g. The meromorphic function gives a branched cover of the compact Riemann surface X. Classes of such covers are in one to one correspondence with conjugacy classes of r-tuples ( of permutations in the symmetric group , in which and s generate a transitive subgroup G of This work is a contribution to the classification of all primitive groups of degree 7, where X is of genus one.