Good bilinear and quadratic forms of height 2 in characteristic 2.
type: Item
instance of: scholarly article
title: Good bilinear and quadratic forms of height 2 in characteristic 2.
zbMATH Open document ID: 1294.11036
author: Ahmed Laghribi
published in: Mathematische Zeitschrift
publication date: 2012-01-12T00:00:00Z
review text: This is a continuation of an earlier work of the author [Pac. J. Math. 232, No. 1, 207--232 (2007; Zbl 1214.11044)] and the author and \textit{U. Rehmann} [J. Algebra 322, No. 1, 1--12 (2009; Zbl 1225.11044)], giving a complete classification of good bilinear and quadratic forms of height 2 over fields of characteristic 2. A new ingredient in the classification theorem is the use of an analog in characteristic \(2\) of a linkage condition known from the work of \textit{R. Elman} and \textit{T. Y. Lam} in characteristic \(\neq 2\) [J. Algebra 23, 181--213 (1972; Zbl 0246.15029)]. A section is devoted to studying the behavior of forms of height \(2\) over the function fields of their dominant forms.
reviewed by: Kazimierz Szymiczek
Mathematics Subject Classification ID: 11E04
Mathematics Subject Classification ID: 11E81
Mathematics Subject Classification ID: 11E39
zbMATH DE Number: 5996712
zbMATH Keywords: bilinear form
zbMATH Keywords: quadratic form
zbMATH Keywords: function field
zbMATH Keywords: Pfister form
zbMATH Keywords: height
zbMATH Keywords: standard splitting of bilinear forms
zbMATH Keywords: bilinear Pfister neighbor
MaRDI profile type: Publication
full work available at URL: s00209-010-0752-z
OpenAlex ID: W2087136083
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DOI: 10.1007/S00209-010-0752-Z
description: scientific article; zbMATH DE number 5996712