Fields of two power conductor

dc.contributorUniversidade Estadual Paulista (Unesp)
dc.creatorFávaro, Eduardo Rogério
dc.creatorAndrade, Antonio Aparecido de [UNESP]
dc.creatorShah, Tariq
dc.date2015-04-27T11:56:01Z
dc.date2015-04-27T11:56:01Z
dc.date2013
dc.date.accessioned2023-09-12T04:46:00Z
dc.date.available2023-09-12T04:46:00Z
dc.identifierhttp://www.i-asr.com/Journals/jaram/ArticleDetail.aspx?PaperID=1581
dc.identifierJournal of Advanced Research in Applied Mathematics, v. 5, n. 3, p. 97-102, 2013.
dc.identifier1942-9649
dc.identifierhttp://hdl.handle.net/11449/122761
dc.identifier8940498347481982
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/8772209
dc.descriptionThe goal of this work is find a description for fields of two power conductor. By the Kronecker-Weber theorem, these amounts to find the subfields of cyclotomic field $\mathbb{Q}(\xi_{2^r})$, where $\xi_{2^r}$ is a $2^r$-th primitive root of unit and $r$ a positive integer. In this case, the cyclotomic extension isn't cyclic, however its Galois group is generated by two elements and the subfield can be expressed by $\mathbb{Q}(\theta)$ for a $\theta\in\mathbb{Q}(\xi_{2^r})$ convenient.
dc.descriptionUniversidade Estadual Paulista Júlio de Mesquita Filho, Instituto de Biociencias, Letras e Ciencias Exatas de Sao Jose do Rio Preto, Sao Jose do Rio Preto, RUA CRISTOVAO COLOMBO 2265 - DEPARTAMENTO DE MATEMATICA, JARDIM NAZARETH, CEP 15054-000, SP, Brasil
dc.descriptionUniversidade Estadual Paulista Júlio de Mesquita Filho, Instituto de Biociencias, Letras e Ciencias Exatas de Sao Jose do Rio Preto, Sao Jose do Rio Preto, RUA CRISTOVAO COLOMBO 2265 - DEPARTAMENTO DE MATEMATICA, JARDIM NAZARETH, CEP 15054-000, SP, Brasil
dc.format97-102
dc.languageeng
dc.relationJournal of Advanced Research in Applied Mathematics
dc.rightsAcesso restrito
dc.sourceCurrículo Lattes
dc.subjectNumber field
dc.subjectcyclotomic field
dc.titleFields of two power conductor
dc.typeArtigo


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