AEP 5555 - [Gaining Intuition Through Symmetry and Computation]

Fall. Not offered: 2024-2025. Next offered: 2025-2026. 3 credits. Student option grading.

Prerequisite: AEP 3200 or AEP 5100. Enrollment limited to: graduate students. Co-meets with AEP 3555.

C. Fennie.

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.