MATD01H3 Fields and Groups

Abstract group theory: Sylow theorems, groups of small order, simple groups, classification of finite abelian groups. Fields and Galois theory: polynomials over a field, field extensions, constructibility; Galois groups of polynomials, in particular cubics; insolvability of quintics by radicals.

Prerequisite: 
Exclusion: 

(MAT302H), MAT347Y, ( MATC02H3)

Recommended Preparation: 
Breadth Requirements: 
Quantitative Reasoning