Artigo
On computing discriminants of subfields of ℚ (ζp r)
Fecha
2002-10-01Registro en:
Journal of Number Theory, v. 96, n. 2, p. 319-325, 2002.
0022-314X
10.1016/S0022-314X(02)92796-4
2-s2.0-0036801781
2-s2.0-0036801781.pdf
Autor
Universidade Estadual Paulista (Unesp)
Universidade Federal do Ceará (UFC)
Resumen
The conductor-discriminant formula, namely, the Hasse Theorem, states that if a number field K is fixed by a subgroup H of Gal(ℚ(ζn)/ℚ), the discriminant of K can be obtained from H by computing the product of the conductors of all characters defined modulo n which are associated to K. By calculating these conductors explicitly, we derive a formula to compute the discriminant of any subfield of ℚ(ζpr), where p is an odd rime and r is a positive integer. © 2002 Elsevier Science USA.