MAT301 Groups and Symmetries
Instructor: Sarah Mayes-Tang
Interim Instructor: Reila Zheng
Course Overview:
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.
Recommend Textbook:
- Joseph A. Gallian, Contemporary Abstract Algebra, 8th, 9th, or 10th edition.