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Fall 2020
Mar 29, 2024
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Syllabus Information
MA 45401 - Galois Theory Honors
Associated Term: Fall 2020
Learning Outcomes: 1. Know the historical background of Galois theory. 2. Know the classical version which addresses questions about roots of polynomials and the modern formulation in terms of abstract algebra. 3. Know about finite extension fields and their symmetries. 4. Know how Galois theory answers ancient questions about ruler and compass constructions. 5. Know about cyclotomic fields generated by complex roots of unity. 6. Know how Galois theory answers questions about the solvability of polynomial equations by arithmetic and radical operations.
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