General Information

Fall. Not offered: 2023-2024. Next offered: 2025-2026. 3 credits. Student option grading.

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.

Prerequisites

  • AEP 3200
  • Co-meets with AEP 5555.

Topics Covered

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.

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