| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4593295 | Journal of Number Theory | 2016 | 8 Pages |
Abstract
Let α be a cubic algebraic integer. Assume that the cubic number field Q(α)Q(α) is Galois. Let α1α1, α2α2 and α3α3 be the real conjugates of α . We give an explicit ZZ-basis and the discriminant of the Gal(Q(α)/Q)Gal(Q(α)/Q)-invariant totally real cubic order Z[α1,α2,α3]Z[α1,α2,α3]. This new result is completely different from the one previously obtained in the case that the cubic field Q(α)Q(α) is not Galois.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Jun Ho Lee, Stéphane R. Louboutin,