Galois Theory
Number Theory
2024-08-15 v1 Commutative Algebra
Rings and Algebras
Abstract
These are the notes for an undergraduate course at the University of Edinburgh, 2021-2023. Assuming basic knowledge of ring theory, group theory and linear algebra, the notes lay out the theory of field extensions and their Galois groups, up to and including the fundamental theorem of Galois theory. Also included are a section on ruler and compass constructions, a proof that solvable polynomials have solvable Galois groups, and the classification of finite fields.
Keywords
Cite
@article{arxiv.2408.07499,
title = {Galois Theory},
author = {Tom Leinster},
journal= {arXiv preprint arXiv:2408.07499},
year = {2024}
}
Comments
152 pages