Moebius transforms and cyclic equations

TL;DR

This paper introduces a straightforward method for constructing polynomials with cyclic Galois groups, aiming to assist algebra enthusiasts in performing their own computations and exploring cyclic equations.

Contribution

It provides a simple, accessible approach for constructing polynomials with cyclic Galois groups, facilitating computational exploration in algebra.

Findings

Method enables construction of polynomials with cyclic Galois groups

Encourages computational experimentation in algebra

Simplifies the process for algebraic computations

Abstract

We present a simple method for the construction of polynomials with cyclic Galois groups, hoping to encourage a reader with some background in algebra to make computations of his/her own.