THE DISCRIMINANT OF ABELIAN NUMBER FIELDS

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Data

2006-02-01

Autores

Interlando, J. Carmelo
Dantas Lopes, Jose Othon
Da Nobrega Neto, Trajano Pires [UNESP]

Título da Revista

ISSN da Revista

Título de Volume

Editor

World Scientific Publ Co Pte Ltd

Resumo

A formula for computing the discriminant of any Abelian number field K is given. It is presented as a function of the conductor m of K and of the degrees of the fields K boolean AND Q(zeta(p)alpha) over Q, where p runs through the set of primes that divide m, and p(alpha) is the greatest power of p that divides m.

Descrição

Palavras-chave

Characters, conductors, cyclotomic fields, discriminants of Abelian number fields, Hasse Theorem

Como citar

Journal Of Algebra And Its Applications. Singapore: World Scientific Publ Co Pte Ltd, v. 5, n. 1, p. 35-41, 2006.