Category Archives: Mathematics

MT4161 – Galois Theory

Galois Theory

§0 Introduction

§1 Rings Fields and Polynomials

§2 Field Extensions

§3 Galois Groups and Galois Correspondence

§4 Splitting Fields and Normal Extensions

§5 Separability

§6 Group Order and Degree of Extension

§7 Normal Extensions and Monomorphisms

§8 Galois Group for Normal Extension

§9 Solution of Polynomials by Radicals

§10 Revision