# The main theorem of the Galois theory proven with ideas from the first M\'emoire of Galois

## TL;DR

This paper presents a proof of the main theorem of Galois theory utilizing symmetric polynomial concepts, inspired by Galois's original work, emphasizing historical and mathematical connections.

## Contribution

It offers a novel proof of Galois's main theorem based on symmetric polynomials, linking historical ideas with modern algebraic techniques.

## Key findings

- Proof connects Galois's original ideas with symmetric polynomial theory.
- Highlights the historical influence of Galois's memoir on modern proofs.
- Demonstrates the elegance of algebraic structures in solving polynomial equations.

## Abstract

A proof of the main theorem of the Galois theory is presented using the main theorem of symmetric polynomials. The idea originated from studying the "M\'emoire sur les conditions de r\'esolubilit\'e des \'equations par radicaux" of Evariste Galois. The motto "Read the masters" pays off.