MAT301H1: Groups and Symmetries

Hours: 
36L

Congruences and fields. Permutations and permutation groups. Linear groups. Abstract groups, homomorphisms, subgroups. Symmetry groups of regular polygons and Platonic solids, wallpaper groups. Group actions, class formula. Cosets, Lagrange theorem. Normal subgroups, quotient groups. Classification of finitely generated abelian groups. Emphasis on examples and calculations.

Prerequisite: 

MAT224H1/​MAT247H1, MAT235Y1/​MAT237Y1, MAT246H1/​CSC236H1/​CSC240H1. (These Prerequisites will be waived for students who have MAT257Y1)

Exclusion: 
Distribution Requirements: 
Science
Breadth Requirements: 
The Physical and Mathematical Universes (5)