THE DISCRIMINANT OF SUBFIELDS OF ℚ(ζ2r)
Autor: | José Othon Dantas Lopes |
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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 |
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