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MATH 352 Galois Theory 6 credits
In the nineteenth century, Évariste Galois discovered a deep connection between field theory and group theory. Now known as Galois theory, this led to the resolution of several centuries-old problems, including whether there is a version of the quadratic formula for higher-degree polynomials, and whether the circle can be squared. Today Galois theory is a fundamental concept for many mathematical fields, from topology to algebra to number theory. This course develops the theory in a modern framework, and explores several applications. Topics include field extensions, classical constructions, splitting fields, the Galois correspondence, Galois groups of polynomials, and solvability by radicals.
This course can be repeated only by students who took MATH 352 22-23
- Spring 2026
- FSR, Formal or Statistical Reasoning
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Student has completed any of the following course(s): MATH 342 with grade of C- or better.