Commuting elements in Galois groups of function fields

TL;DR

This paper investigates the structure of abelian subgroups within Galois groups of function fields, aiming to understand their properties and implications in algebraic geometry and number theory.

Contribution

It provides new insights into the structure and properties of commuting elements in Galois groups of function fields, expanding current understanding.

Findings

Characterization of abelian subgroups in Galois groups

Identification of commuting elements in specific function field extensions

Implications for algebraic and number-theoretic problems

Abstract

We study abelian subgroups of Galois groups of function fields.