THE DISCRIMINANT OF SUBFIELDS OF ℚ(ζ2r)

Autor: José Othon Dantas Lopes
Rok vydání: 2003
Předmět:
Zdroj: Journal of Algebra and Its Applications. :463-469
ISSN: 1793-6829
0219-4988
DOI: 10.1142/s0219498803000611
Popis: A formula for computing the discriminant of any number field K ⊂ ℚ(ζ2r), with r ≥ 3, is derived. The formula consists of two expressions, depending on whether K is cyclotomic or not. However, both expressions depend solely on m, the degree of K over ℚ, and they are derived from the Conductor-Discriminant Formula for Abelian extensions of ℚ.
Databáze: OpenAIRE