Gaining Intuition Through Symmetry and Computation

Catalog description

Applied Group Theory. Focus is on the symmetry of geometrical objects, both as abstract objects (up to an isomorphism) and embedded in a physical space (up to a conjugation) such as the Crystallographic Groups. Topics will include: Group Actions (on Sets & Vector Spaces), Numbers & Groups, Permutations & the Symmetric Group, Orbit-Stabilizer Theorem, Regular Objects in 2d/3d & the Platonic solids, applications to problems in physics.