302.S9B: The Galois Correspondence
At the top of the abstract algebra hill sits the Galois Correspondence theorem, which shows that every subfield of an algebraic extension corresponds one-to-one with a subgroup of its automorphism group. We explore the implications for the splitting field of t^3 -- 2.
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302.S10A: Quadratic and Cubic Formulas and Fields
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302.S7c: Two Galois Group Examples
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Visual Group Theory, Lecture 6.6: The fundamental theorem of Galois theory
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FIT4.3. Galois Correspondence 1 - Examples
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Elliptic Curves and Modular Forms | The Proof of Fermat’s Last Theorem
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302.S10B: Radical Extensions & Solvable Groups
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Why you can't solve quintic equations (Galois theory approach) #SoME2
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302.S7b: Field Automorphisms and Galois Groups
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What is the square root of two? | The Fundamental Theorem of Galois Theory
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Everything You Ever Wanted To Know About Galois Theory | Practical Galois Theory #1 | #SoME4
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Grant Sanderson (3Blue1Brown) | Unsolvability of the Quintic | The Cartesian Cafe w/ Timothy Nguyen
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The Insolvability of the Quintic
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Galois Theory Explained Simply
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Adjunctions: Galois Connections -- Foundations & Examples 1
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Conceptualizing the Christoffel Symbols: An Adventure in Curvilinear Coordinates
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302.S12B: Quintic Impossible 2 - An Insolvable Quintic
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The Bayesian Trap
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Visual Group Theory, Lecture 6.4: Galois groups
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