Geodesic
Cohomological Invariants for $G$-Galois Algebras and Self-Dual Normal Bases
Documenta mathematica, Tome 22 (2017), pp. 1-24.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

We define degree two cohomological invariants for $G$-Galois algebras over fields of characteristic not 2, and use them to give necessary conditions for the existence of a self-dual normal basis. In some cases (for instance, when the field has cohomological dimension $\leq 2$) we show that these conditions are also sufficient.
Classification : 00 
@article{DOCMA_2017__22__a52,
     author = {Bayer-Fluckiger, E. and Parimala, R.},
     title = {Cohomological {Invariants} for $G${-Galois} {Algebras} and {Self-Dual} {Normal} {Bases}},
     journal = {Documenta mathematica},
     pages = {1--24},
     publisher = {mathdoc},
     volume = {22},
     year = {2017},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/DOCMA_2017__22__a52/}
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Bayer-Fluckiger, E.; Parimala, R. Cohomological Invariants for $G$-Galois Algebras and Self-Dual Normal Bases. Documenta mathematica, Tome 22 (2017), pp. 1-24. http://geodesic.mathdoc.fr/item/DOCMA_2017__22__a52/