Geodesic
The integral trace form as a complete invariant for real $S_n$ number fields
Documenta mathematica, Tome 27 (2022), pp. 1865-1889 Cet article a éte moissonné depuis la source EMS Press

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In this paper we show that the integral trace is a complete invariant for degree n,Sn​ 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.
DOI : 10.4171/dm/x20
Classification : 11R21, 11R29, 11R80
Mots-clés : integral trace form, tame fields, Sn​-extensions 
@article{10_4171_dm_x20,
     author = {Guillermo Mantilla-Soler and Carlos Rivera},
     title = {The integral trace form as a complete invariant for real $S_n$ number fields},
     journal = {Documenta mathematica},
     pages = {1865--1889},
     year = {2022},
     volume = {27},
     doi = {10.4171/dm/x20},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/x20/}
}
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Guillermo Mantilla-Soler; Carlos Rivera. The integral trace form as a complete invariant for real $S_n$ number fields. Documenta mathematica, Tome 27 (2022), pp. 1865-1889. doi: 10.4171/dm/x20

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