volume 77, issue 3, P5-28 2013
DOI: 10.4213/im8011
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Жан Пьер Серр
et al.

## Abstract: A Igor Rostislavovich Shafarevich,à l'occasion de son 90-ième anniversaire IntroductionLet k be a field, let G be a finite group and let L be a G-Galois algebra over k, for instance a finite Galois extension of k with Galois group G. The trace form of L is the symmetric bilinear formAn interesting special case is when L has a self-dual normal basis, i.e. when there exists x ∈ L such that (gx) g∈G is a k-basis of L and q L (gx, hx) = δ g,h for every g, h ∈ G, where δ g,h is the Kronecker symbol.The aim of the …

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