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The Trace Form Over Cyclic Number Fields
Published online by Cambridge University Press: 14 April 2020
Abstract
In the mid 80’s Conner and Perlis showed that for cyclic number fields of prime degree p the isometry class of integral trace is completely determined by the discriminant. Here we generalize their result to tame cyclic number fields of arbitrary degree. Furthermore, for such fields, we give an explicit description of a Gram matrix of the integral trace in terms of the discriminant of the field.
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- © Canadian Mathematical Society 2020
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