A note on the integral trace form in cyclotomic fields
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Data
2015-05-01
Autores
Interlando, J. Carmelo
Nobrega Neto, Trajano Pires da [UNESP]
Rodrigues, Tatiana Miguel [UNESP]
Dantas Lopes, Jose Othon
Título da Revista
ISSN da Revista
Título de Volume
Editor
World Scientific Publ Co Pte Ltd
Resumo
Let 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.
Descrição
Palavras-chave
Cyclotomic fields, integral trace forms, minima of forms
Como citar
Journal Of Algebra And Its Applications. Singapore: World Scientific Publ Co Pte Ltd, v. 14, n. 4, 9 p., 2015.