Proof: Galois Group Maps Roots to Roots @MuPrimeMath
Proof: Galois Group Maps Roots to Roots @MuPrimeMath
Uploaded January 2025 | Updated September 2026, 2 weeks ago
An explanation for why automorphisms of a field extension map roots of a polynomial in the base field to other roots of that polynomial. This is a foundational fact in Galois theory that leads to basic properties of the Galois group of a field extension.

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Proof: Galois Group Maps Roots to Roots

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