On the trace form of Galois algebras

被引：0

作者：

Cassou-Nogues, Philippe ^{[1
]}

Chinburg, Ted ^{[2
]}

Morin, Baptiste ^{[1
]}

Taylor, Martin J. ^{[3
]}

机构：

[1] Univ Bordeaux, IMB, F-33405 Talence, France

[2] Univ Penn, Dept Math, 209 South 33rd St, Philadelphia, PA 19104 USA

[3] Univ Oxford Merton Coll, Dept Math, Merton St, Oxford OX1 4JD, England

来源：

BULLETIN OF THE LONDON MATHEMATICAL SOCIETY | 2018年 / 50卷 / 05期

基金：

美国国家科学基金会;

关键词：

DUAL NORMAL BASES; COHOMOLOGY; EXTENSIONS;

D O I：

10.1112/blms.12193

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：899 / 915

页数：17

共 50 条

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