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Twisted Kummer and Kummer-Artin-Schreier theories

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Publication:940727
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DOI10.2748/tmj/1215442871zbMath1145.13005OpenAlexW1976224199MaRDI QIDQ940727

Noriyuki Suwa

Publication date: 1 September 2008

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1215442871

zbMATH Keywords

Kummer theorycyclic extensionstwisted Kummer theory


Mathematics Subject Classification ID

Galois cohomology (12G05) Group schemes (14L15) Galois theory and commutative ring extensions (13B05)


Related Items

Degeneration of the Kummer sequence in characteristic \(p>0\) ⋮ Geometric aspects of Lucas sequences. II ⋮ A family of geometric operators on triangles with two complex variables ⋮ Geometric aspects of Lucas sequences. I



Cites Work

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  • A unified Kummer-Artin-Schreier sequence
  • One-dimensional affine group schemes
  • Arithmetic of Rikuna's generic cyclic polynomial and generalization of Kummer theory
  • Kummer-Artin-Schreier theory and applications
  • Kummer theory for norm algebraic tori
  • On the deformation of Artin-Schreier to Kummer
  • On simple families of cyclic polynomials
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