302.S6b: Cyclotomic Extensions and Automorphisms
The k-th cyclotomic fields are very different when k is prime than when k is composite. We contrast the cases k=5, 7, and 8, and determine automorphism groups for the 5th (cyclic!) and 8th (Klein four-group!) cyclotomic fields.
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302.S7a: Symmetries to Motivate Field Automorphisms
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302.S9B: The Galois Correspondence
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302.S10B: Radical Extensions & Solvable Groups
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Why Aliens Would NEVER Invade Africa
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William Dunham, A tribute to Euler
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302.S7c: Two Galois Group Examples
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302.S8C: Automorphisms of Normal Extensions
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302.S4: Normal Extensions
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The French Do Not Care About Work
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The Insolvability of the Quintic
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When Math Isn’t Based in Reality
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Judge Can’t Stop Laughing At Sovereign Citizen’s Courtroom Meltdown!!!
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2 Bouncy Things. Zero bounce.
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302.10C: Constructing Finite Fields
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302.S3c: Minimal Polynomials Existence and Uniqueness
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302.S9A: Galois Groups and "Stubborn" Polynomials
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Why Peter Scholze is once in a Generation Mathematician
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302.S5y: The Tower Law
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