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/MAT157Y1/CSC236H1/CSC240H1. (These Prerequisites will be waived for students who have MAT257Y1.) For FASE students, MAT185H, MAT194H, MAT195H.
Exclusion
Distribution Requirements
Science
Breadth Requirements
The Physical and Mathematical Universes (5)