When is the order generated by a cubic, quartic or quintic algebraic unit Galois invariant: three conjectures

DOI10.21136/CMJ.2020.0019-19OpenAlexW3014408666MaRDI QIDQ5140388

Stéphane R. Louboutin

Publication date: 15 December 2020

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.21136/cmj.2020.0019-19

zbMATH Keywords

algebraic number fieldsunit groupscubic fieldsquartic fieldsquintic fields

Mathematics Subject Classification ID

Units and factorization (11R27) Cubic and quartic extensions (11R16) Other abelian and metabelian extensions (11R20)

Cites Work

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• Discriminants of cyclic cubic orders
• On the ring of integers of real cyclotomic fields
• Determination of the orders generated by a cyclic cubic unit that are Galois invariant
• On the fundamental units of some cubic orders generated by units
• An Elementary Test for the Galois Group of a Quartic Polynomial
• On the Construction of Families of Cyclic Polynomials Whose Roots Are Units
• On the integral basis of the maximal real subfield of a cyclotomic field.
• Hasse Unit Indices of Dihedral Octic CM-Fields

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