Generalized Kummer theory and its applications

DOI10.5802/AMBP.259zbMath1188.11054OpenAlexW2331935743MaRDI QIDQ1017372

Toru Komatsu

Publication date: 18 May 2009

Published in: Annales Mathématiques Blaise Pascal (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AMBP_2009__16_1_127_0

zbMATH Keywords

Kummer theoryArtin symbolGeneric polynomial

Mathematics Subject Classification ID

Cubic and quartic extensions (11R16) Special polynomials in general fields (12E10) Other abelian and metabelian extensions (11R20)

Cites Work

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• Characterizing cyclic cubic extensions by automorphism polynomials
• Automorphism polynomials in cyclic cubic extensions
• A family of cyclic cubic polynomials whose roots are systems of fundamental units.
• On generic families of cyclic polynomials with even degree
• Arithmetic of Rikuna's generic cyclic polynomial and generalization of Kummer theory
• Cyclic cubic field with explicit Artin symbols
• On simple families of cyclic polynomials

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