JournalsdmVol. 27pp. 1865–1889

The integral trace form as a complete invariant for real number fields

  • Guillermo Mantilla-Soler

    Department of Mathematics, Universidad Nacional de Colombia, Medellín, Colombia

  • Carlos Rivera

    Department of Mathematics, University of Washington, Seattle, WA, USA
The integral trace form as a complete invariant for real $S_n$ number fields cover
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Abstract

In this paper we show that the integral trace is a complete invariant for degree real number fields that satisfy certain ramification bound. Among the fields that our results cover, there are those of square free different ideal; for such fields we find an explicit description of the isometry group of the integral trace.

Cite this article

Guillermo Mantilla-Soler, Carlos Rivera, The integral trace form as a complete invariant for real number fields. Doc. Math. 27 (2022), pp. 1865–1889

DOI 10.4171/DM/X20