Geodesic
Cohomological Invariants for $G$-Galois Algebras and Self-Dual Normal Bases
Documenta mathematica, Tome 22 (2017), pp. 1-24
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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 ≤2) we show that these conditions are also sufficient.
DOI : 10.4171/dm/557
Classification : 00 
@article{10_4171_dm_557,
     author = {E. Bayer-Fluckiger and R. Parimala},
     title = {Cohomological {Invariants} for $G${-Galois} {Algebras} and {Self-Dual} {Normal} {Bases}},
     journal = {Documenta mathematica},
     pages = {1--24},
     year = {2017},
     volume = {22},
     doi = {10.4171/dm/557},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/557/}
}
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E. Bayer-Fluckiger; R. Parimala. Cohomological Invariants for $G$-Galois Algebras and Self-Dual Normal Bases. Documenta mathematica, Tome 22 (2017), pp. 1-24. doi: 10.4171/dm/557

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