Analogue of the Galois Theory for normal fields and B-extensions (characteristic free approach)

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• Vladimir Bavula, University of Sheffield
• Wednesday 12 November 2025, 16:30-17:30
• MR12.

If you have a question about this talk, please contact Adam Jones.

By definition, a Galois field extension is a separable and normal field extension and the Galois Theory is about Galois field extensions. For a long time it was an open question to produce a `Galois Theory’ for normal (but not necessarily separable) field extensions. Examples are all purely inseparable field extensions but normal field extensions are a larger class. The last time when progress was made are the classical results on `Galois Theory’ of Jacobson (1937, 1944) for purely inseparable field extensions of exponent one and its generalizations for modular extensions by Sweedler (1968), and Gerstenhaber and Zaromp (1970). In my talk, I will present an analogue of the Galois Theory for normal field extensions which is based on two of my recent papers.

This talk is part of the Algebra and Representation Theory Seminar series.

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