THE DISCRIMINANT OF ABELIAN NUMBER FIELDS

Artículos de revistas

Fecha

2006-02-01

Registro en:

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

0219-4988

http://hdl.handle.net/11449/195816

10.1142/S0219498806001636

WOS:000209821300003

https://repositorioslatinoamericanos.uchile.cl/handle/2250/5376454

Autor

San Diego State Univ

Univ Fed Ceara

Universidade Estadual Paulista (Unesp)

Institución

Universidade Estadual Paulista (Brasil)

Resumen

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.

Materias

Characters

conductors

cyclotomic fields

discriminants of Abelian number fields

Hasse Theorem

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