Trace form associated to cyclic number fields of ramified odd prime degree

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Data

2019-01-01

Autores

Araujo, Robson R.
Chagas, Ana C. M. M.
Andrade, Antonio A. [UNESP]
Nóbrega Neto, Trajano P. [UNESP]

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Resumo

In this work, we computate the trace form Tr k/Q (x2) associated to a cyclic number field of odd prime degree p, where p ramified in and x belongs to the ring of integers of . Furthermore, we use this trace form to calculate the expression of the center density of algebraic lattices constructed via the Minkowski embedding from some ideals in the ring of integers of .

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algebraic lattices, cyclic number fields, Trace form

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Journal of Algebra and its Applications.