On the fundamental units of a totally real cubic order generated by a unit

DOI10.1090/S0002-9939-2011-10924-9zbMath1283.11152OpenAlexW1986688119MaRDI QIDQ3116532

Stéphane R. Louboutin

Publication date: 24 February 2012

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-2011-10924-9

zbMATH Keywords

fundamental unitscubic orders

Mathematics Subject Classification ID

Units and factorization (11R27) Cubic and quartic extensions (11R16)

Related Items (4)

Discriminants of cyclic cubic orders ⋮ On the Discriminants of the Powers of an Algebraic Integer ⋮ Determination of the orders generated by a cyclic cubic unit that are Galois invariant ⋮ On the order generated by the conjugates of an algebraic integer

Cites Work

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• The class-number one problem for some real cubic number fields with negative discriminants
• On some cubic or quartic algebraic units
• The class number one problem for some totally complex quartic number fields
• The exponent three class group problem for some real cyclic cubic number fields
• Fundamentality of a cubic unit $u$ for $\mathbb {Z}[u$]

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