Galois theory: Main theorem @richarde.borcherds7998

Galois theory: Main theorem @richarde.borcherds7998

Uploaded January 2021 | Updated September 2026, 2 weeks ago

This lecture is part of an online graduate course on Galois theory.

We prove the main theorem of Galois theory, given a bijection between subgroups of a Galois group and subextensions of a Galois extension. We illustrate it with the example of the splitting field of 4th roots of 2.

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Galois theory: Main theorem