A note on the integral trace form in cyclotomic fields

dc.contributorUniversidade Estadual Paulista (UNESP)
dc.creatorInterlando, J. Carmelo
dc.creatorNobrega Neto, Trajano Pires da
dc.creatorRodrigues, Tatiana Miguel
dc.creatorDantas Lopes, Jose Othon
dc.date2015-10-21T13:14:39Z
dc.date2016-10-25T21:00:37Z
dc.date2015-10-21T13:14:39Z
dc.date2016-10-25T21:00:37Z
dc.date2015-05-01
dc.date.accessioned2017-04-06T09:01:53Z
dc.date.available2017-04-06T09:01:53Z
dc.identifierJournal Of Algebra And Its Applications. Singapore: World Scientific Publ Co Pte Ltd, v. 14, n. 4, 9 p., 2015.
dc.identifier0219-4988
dc.identifierhttp://hdl.handle.net/11449/128862
dc.identifierhttp://acervodigital.unesp.br/handle/11449/128862
dc.identifierhttp://dx.doi.org/10.1142/S0219498815500450
dc.identifierWOS:000349684300003
dc.identifierhttp://www.worldscientific.com/doi/10.1142/S0219498815500450
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/939418
dc.descriptionLet m >= 3 be an integer, zeta(m) is an element of C a primitive mth root of unity, and K-m the cyclotomic field Q(zeta(m)). An explicit description of the integral trace form Tr-Km/Q(x (x) over bar)vertical bar Z[zeta(m)] where (x) over bar is the complex conjugate of x is presented. In the case where m is prime, a procedure for finding the minimum of the form subject to x being a nonzero element of a certain Z- module in Z[zeta(m)] is presented.
dc.languageeng
dc.publisherWorld Scientific Publ Co Pte Ltd
dc.relationJournal Of Algebra And Its Applications
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectCyclotomic fields
dc.subjectintegral trace forms
dc.subjectminima of forms
dc.titleA note on the integral trace form in cyclotomic fields
dc.typeOtro


Este ítem pertenece a la siguiente institución