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On the trace form of Galois algebras
Language
en
Article de revue
This item was published in
Bulletin of the London Mathematical Society. 2018, vol. 00, p. 1 - 17
London Mathematical Society
English Abstract
We study the trace form qL of G-Galois algebras L/K when G is a finite group and K is a field of characteristic different from 2. We introduce in this paper the category of 2-reduced groups and, when G is such a group, we ...Read more >
We study the trace form qL of G-Galois algebras L/K when G is a finite group and K is a field of characteristic different from 2. We introduce in this paper the category of 2-reduced groups and, when G is such a group, we use a formula of Serre to compute the second Hasse-Witt invariant of qL. By combining this computation with work of Quillen we determine the isometry class of qL for large families of G-Galois algebras over global fields. We also indicate how our results generalize to Galois G-covers of schemes.Read less <
Origin
Hal imported