On computing discriminants of subfields of ℚ (ζp r)
Contribuinte(s) |
Universidade Estadual Paulista (UNESP) |
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Data(s) |
27/05/2014
27/05/2014
01/10/2002
|
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. |
Formato |
319-325 |
Identificador |
http://dx.doi.org/10.1016/S0022-314X(02)92796-4 Journal of Number Theory, v. 96, n. 2, p. 319-325, 2002. 0022-314X http://hdl.handle.net/11449/66977 10.1016/S0022-314X(02)92796-4 2-s2.0-0036801781 2-s2.0-0036801781.pdf |
Idioma(s) |
eng |
Relação |
Journal of Number Theory |
Direitos |
openAccess |
Palavras-Chave | #Characters #Conductors #Cyclotomic fields #Discriminants of number fields #Hasse theorem |
Tipo |
info:eu-repo/semantics/article |