A note on unramified quadratic extensions over algebraic number fields
Ichimura, Humio
Proc. Japan Acad. Ser. A Math. Sci., Tome 76 (2000) no. 10, p. 78-81 / Harvested from Project Euclid
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We construct for each integer $n$ ($\geq 3$), infinitely many number fields of degree $n$ each of which has an unramified quadratic extension with a power integral basis but no normal integral basis.
Publié le : 2000-05-14
Classification:  Unramified quadratic extension,  power integral basis,  normal integral basis,  11R33 
@article{1148393518,
     author = {Ichimura, Humio},
     title = {A note on unramified quadratic extensions over algebraic number fields},
     journal = {Proc. Japan Acad. Ser. A Math. Sci.},
     volume = {76},
     number = {10},
     year = {2000},
     pages = { 78-81},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1148393518}
}

Ichimura, Humio. A note on unramified quadratic extensions over algebraic number fields. Proc. Japan Acad. Ser. A Math. Sci., Tome 76 (2000) no. 10, pp.  78-81. http://gdmltest.u-ga.fr/item/1148393518/