Galois groups over function fields of positive characteristic

TL;DR

This paper explores specific examples of Galois groups over function fields in positive characteristic, motivated by foundational work of Serre and Abhyankar, contributing to understanding their structure and properties.

Contribution

It provides new examples and insights into Galois groups over function fields in positive characteristic, expanding on prior theoretical frameworks.

Findings

Examples illustrating Galois group structures

Connections to Serre and Abhyankar's work

Enhanced understanding of positive characteristic cases

Abstract

We describe examples motivated by the work of Serre and Abhyankar.