On computing discriminants of subfields of Q(zeta(pr))

Detalhes bibliográficos
Autor(a) principal: Neto, TPDN
Data de Publicação: 2002
Outros Autores: Interlando, J. C., Lopes, JOD
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1006/jnth.2002.2796
http://hdl.handle.net/11449/35981
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(zeta(n))/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(zeta(p)r), where p is an odd prime and r is a positive integer. (C) 2002 Elsevier B.V. (USA).
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spelling On computing discriminants of subfields of Q(zeta(pr))charactersconductorsCyclotomic fieldsdiscriminants of number fieldsHasse TheoremThe conductor-discriminant formula, namely, the Hasse Theorem, states that if a number field K is fixed by a subgroup H of Gal(Q(zeta(n))/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(zeta(p)r), where p is an odd prime and r is a positive integer. (C) 2002 Elsevier B.V. (USA).Univ Estadual Paulista, Dept Matemat, BR-15054000 Sao Jose do Rio Preto, SP, BrazilUniv Fed Ceara, Dept Matemat, BR-60455760 Fortaleza, Ceara, BrazilUniv Estadual Paulista, Dept Matemat, BR-15054000 Sao Jose do Rio Preto, SP, BrazilElsevier B.V.Universidade Estadual Paulista (Unesp)Universidade Federal do Ceará (UFC)Neto, TPDNInterlando, J. C.Lopes, JOD2014-05-20T15:25:36Z2014-05-20T15:25:36Z2002-10-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article319-325http://dx.doi.org/10.1006/jnth.2002.2796Journal of Number Theory. San Diego: Academic Press Inc. Elsevier B.V., v. 96, n. 2, p. 319-325, 2002.0022-314Xhttp://hdl.handle.net/11449/3598110.1006/jnth.2002.2796WOS:000178794500006Web of Sciencereponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengJournal of Number Theory0.774info:eu-repo/semantics/openAccess2021-10-22T17:11:44Zoai:repositorio.unesp.br:11449/35981Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T17:21:58.559645Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv On computing discriminants of subfields of Q(zeta(pr))
title On computing discriminants of subfields of Q(zeta(pr))
spellingShingle On computing discriminants of subfields of Q(zeta(pr))
Neto, TPDN
characters
conductors
Cyclotomic fields
discriminants of number fields
Hasse Theorem
title_short On computing discriminants of subfields of Q(zeta(pr))
title_full On computing discriminants of subfields of Q(zeta(pr))
title_fullStr On computing discriminants of subfields of Q(zeta(pr))
title_full_unstemmed On computing discriminants of subfields of Q(zeta(pr))
title_sort On computing discriminants of subfields of Q(zeta(pr))
author Neto, TPDN
author_facet Neto, TPDN
Interlando, J. C.
Lopes, JOD
author_role author
author2 Interlando, J. C.
Lopes, JOD
author2_role author
author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (Unesp)
Universidade Federal do Ceará (UFC)
dc.contributor.author.fl_str_mv Neto, TPDN
Interlando, J. C.
Lopes, JOD
dc.subject.por.fl_str_mv characters
conductors
Cyclotomic fields
discriminants of number fields
Hasse Theorem
topic characters
conductors
Cyclotomic fields
discriminants of number fields
Hasse Theorem
description The conductor-discriminant formula, namely, the Hasse Theorem, states that if a number field K is fixed by a subgroup H of Gal(Q(zeta(n))/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(zeta(p)r), where p is an odd prime and r is a positive integer. (C) 2002 Elsevier B.V. (USA).
publishDate 2002
dc.date.none.fl_str_mv 2002-10-01
2014-05-20T15:25:36Z
2014-05-20T15:25:36Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://dx.doi.org/10.1006/jnth.2002.2796
Journal of Number Theory. San Diego: Academic Press Inc. Elsevier B.V., v. 96, n. 2, p. 319-325, 2002.
0022-314X
http://hdl.handle.net/11449/35981
10.1006/jnth.2002.2796
WOS:000178794500006
url http://dx.doi.org/10.1006/jnth.2002.2796
http://hdl.handle.net/11449/35981
identifier_str_mv Journal of Number Theory. San Diego: Academic Press Inc. Elsevier B.V., v. 96, n. 2, p. 319-325, 2002.
0022-314X
10.1006/jnth.2002.2796
WOS:000178794500006
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Journal of Number Theory
0.774
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 319-325
dc.publisher.none.fl_str_mv Elsevier B.V.
publisher.none.fl_str_mv Elsevier B.V.
dc.source.none.fl_str_mv Web of Science
reponame:Repositório Institucional da UNESP
instname:Universidade Estadual Paulista (UNESP)
instacron:UNESP
instname_str Universidade Estadual Paulista (UNESP)
instacron_str UNESP
institution UNESP
reponame_str Repositório Institucional da UNESP
collection Repositório Institucional da UNESP
repository.name.fl_str_mv Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)
repository.mail.fl_str_mv
_version_ 1808128798852382720

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