Diagonalizing the trace form in some number fields

Anna Dąbrowska

Published: 2001-09-28

Vol. 15 (2001)

Diagonalizing the trace form in some number fields

Anna Dąbrowska

Abstract

In the present paper the trace form on the ring of integers of a number field is considered. All quadratic fields are determinated for which the form can be diagonalized, i.e. the quadratic fields with an integral basis orthogonal with respect to the trace. There are also given examples of fields of higher degree with the same property.

Keywords:

trace form , quadratic fields , orthogonal integral basis

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Dąbrowska, A. (2001). Diagonalizing the trace form in some number fields. Annales Mathematicae Silesianae, 15, 17–26. Retrieved from https://journals.us.edu.pl/index.php/AMSIL/article/view/14113

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Vol. 15 (2001)
Published: 2001-09-28

ISSN: 0860-2107

eISSN: 2391-4238

10.1515/amsil

Publisher

University of Silesia Press

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