Uploaded January 2021 | Updated September 2026, 1 week ago
This lecture is part of an online graduate course on Galois theory.
We discuss two forms of Hilbert's theorem 90: the original version for cyclic extensions, and Noether's more general version for arbitrary finite Galois extensions. The proofs use a lemma of Artin about the linear independence of group characters.
This lecture is part of an online graduate course on Galois theory.
We discuss two forms of Hilbert's theorem 90: the original version for cyclic extensions, and Noether's more general version for arbitrary finite Galois extensions. The proofs use a lemma of Artin about the linear independence of group characters.
