302.S4: Normal Extensions
A normal extension is one in which every polynomial either remains irreducible, or splits completely - i.e., if a polynomial has even one root in the field, it brings all its conjugate buddies with it.
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302.S5: Splitting Fields
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Galois theory: Splitting fields
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302.S3a: Motivation for Minimal Polynomials
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Galois theory: Normal extensions
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Lecture 6. Normal Field Extensions
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302.S2b: Simple Extensions
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What are...normal and separable extensions?
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The most beautiful formula not enough people understand
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Visual Group Theory, Lecture 6.1: Fields and their extensions
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Galois theory: Separable extensions
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From Child Prodigy to Winning Fields Medal, Nobel of Math
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302.S9B: The Galois Correspondence
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The Insolvability of the Quintic
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What are...Galois extensions?
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The Strangest Things that Correlate with IQ
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Visual Group Theory, Lecture 6.6: The fundamental theorem of Galois theory
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Visual Group Theory, Lecture 6.2: Field automorphisms
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302.S9A: Galois Groups and "Stubborn" Polynomials
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