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SUMMARY:Analogue of the Galois Theory for normal fields and B-extensions (
 characteristic free approach) - Vladimir Bavula\, University of Sheffield
DTSTART:20251112T163000Z
DTEND:20251112T173000Z
UID:TALK239866@talks.cam.ac.uk
CONTACT:Adam Jones
DESCRIPTION:By definition\, a Galois field extension is a separable and no
 rmal field extension and the Galois Theory is about Galois field extension
 s. For a long time it was an open question to produce a `Galois Theory' fo
 r normal (but not necessarily separable) field extensions. Examples are al
 l purely inseparable field extensions but normal field extensions are a la
 rger 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 w
 ill present an analogue of the Galois Theory for normal field extensions w
 hich is based on two of my recent papers.
LOCATION:MR12
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