Fields of two power conductor

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Data

2013

Autores

Fávaro, Eduardo Rogério
Andrade, Antonio Aparecido de [UNESP]
Shah, Tariq

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Resumo

The 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.

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Palavras-chave

Number field, cyclotomic field

Como citar

Journal of Advanced Research in Applied Mathematics, v. 5, n. 3, p. 97-102, 2013.