On simple families of cyclic polynomials

DOI10.1090/S0002-9939-02-06414-6zbMath0990.12005OpenAlexW1533856991MaRDI QIDQ4529665

Yūichi Rikuna

Publication date: 6 May 2002

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-02-06414-6

zbMATH Keywords

inverse Galois problemcyclic groupscyclic polynomials

Mathematics Subject Classification ID

Inverse Galois theory (12F12) Special polynomials in general fields (12E10) Other abelian and metabelian extensions (11R20)

Related Items (13)

HT90 and ``simplest number fields ⋮ Cyclic polynomials arising from the functional equation for Dickson polynomials ⋮ Cyclic cubic field with explicit Artin symbols ⋮ Twisted Kummer and Kummer-Artin-Schreier theories ⋮ On 2-adic Lie iterated extensions of number fields arising from a Joukowski map ⋮ Rikuna's generic cyclic polynomial and the monogenity ⋮ Discriminants of simplest \(3^n\)-tic extensions ⋮ SPECIALIZATIONS OF GENERALIZED RIKUNA POLYNOMIALS ⋮ On the simplest sextic fields and related Thue equations ⋮ On the Simplest Quartic Fields and Related Thue Equations ⋮ Generalized Kummer theory and its applications ⋮ Kummer theory for norm algebraic tori ⋮ On generic polynomials for the modular 2-groups

Cites Work

• Generic cyclic polynomials of odd degree
• The Simplest Cubic Fields
• Polynomials with Cyclic Galois Group
• Special Units in Real Cyclic Sextic Fields
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