@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/} }