On the trace form of Galois algebras
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | CASSOU-NOGUÈS, Philippe | |
| hal.structure.identifier | Department of Mathematics [Philadelphia] | |
| dc.contributor.author | CHINBURG, Ted | |
| hal.structure.identifier | Université Toulouse III - Paul Sabatier [UT3] | |
| dc.contributor.author | MORIN, Baptiste | |
| hal.structure.identifier | Mathematical Institute [Oxford] [MI] | |
| dc.contributor.author | TAYLOR, Martin | |
| dc.date.accessioned | 2024-04-04T02:58:21Z | |
| dc.date.available | 2024-04-04T02:58:21Z | |
| dc.date.issued | 2018 | |
| dc.identifier.issn | 0024-6093 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/192652 | |
| dc.description.abstractEn | 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. | |
| dc.language.iso | en | |
| dc.publisher | London Mathematical Society | |
| dc.title.en | On the trace form of Galois algebras | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.1112/blms.12193 | |
| dc.subject.hal | Mathématiques [math] | |
| dc.subject.hal | Mathématiques [math]/Algèbre commutative [math.AC] | |
| dc.subject.hal | Mathématiques [math]/Théorie des nombres [math.NT] | |
| bordeaux.journal | Bulletin of the London Mathematical Society | |
| bordeaux.page | 1 - 17 | |
| bordeaux.volume | 00 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-02407567 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-02407567v1 | |
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