On computing discriminants of subfields of ℚ (ζp r)
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Data
2002-10-01
Autores
Neto, Trajano Pires da Nóbrega [UNESP]
Interlando, J.Carmelo [UNESP]
Lopes, José Othon Dantas
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Resumo
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.
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Characters, Conductors, Cyclotomic fields, Discriminants of number fields, Hasse theorem
Como citar
Journal of Number Theory, v. 96, n. 2, p. 319-325, 2002.