Uploaded January 2021 | Updated September 2026, 2 weeks ago
This lecture is part of an online graduate course on Galois theory.
We define Galois extensions in 5 different ways, and show that 4 f these conditions are equivalent. (The 5th equivalence will be proved in a later lecture.) We use this to show that any finite group is the Galois group of some finite extension.
This lecture is part of an online graduate course on Galois theory.
We define Galois extensions in 5 different ways, and show that 4 f these conditions are equivalent. (The 5th equivalence will be proved in a later lecture.) We use this to show that any finite group is the Galois group of some finite extension.
