Algebra V - Galois theory

Summary

Galois theory lies at the interface of Field Theory and Group Theory. It aims to describe the algebraic symmetries of fields. We will focus on Galois theory for finite field extensions and some applications.

Learning Prerequisites

Required courses

MATH-211

MATH-215

 

Important concepts to start the course

Groups, ring and fields.

Learning Outcomes

By the end of the course, the student must be able to:

• Quote the main results from the course.
• Apply the results from the course to other problems.
• Prove the main theorems of the course.

Teaching methods

Lectures and exercise classes.

Assessment methods

One final written exam.

Supervision

Office hours	No
Assistants	Yes
Forum	Yes

Resources

Bibliography

James Milne: Galois Theory

Chambert-Loir: A field guide to algebra

 

 

 

Ressources en bibliothèque

• A field guide to algebra / Chambert-Loir

Références suggérées par la bibliothèque

• Fields and Galois Theory / Milne [PDF on author's website]

Notes/Handbook

Notes will be provided during the course.

Moodle Link

• https://go.epfl.ch/MATH-317

Prerequisite for

MATH-328

MATH-417

MATH-429

MATH-482

MATH-489

MATH-494

MATH-535