MATC01H3 Groups and Symmetry

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's theorem. Normal subgroups, quotient groups. Emphasis on examples and calculations.

Prerequisite: 

[ MATA36H3 or MATA37H3] and [ MATB24H3 or MAT224H]

Exclusion: 

MAT301H, MAT347Y

Breadth Requirements: 
Quantitative Reasoning