Abstract
In the whole chapter k is a field of characteristic 2 and ξ → ξ* an antiautomorphism of the field whose square is inner, ξ** = ε-1ξε and, furthermore, εε* = 1 for some ε ∈ k.
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References to Chapter XVI
C. Arf, Untersuchungen über quadratische Formen in Körpern der Charakteristik 2, J. reine angew. Math. 183 (1941), 148–167.
F. Bolli, Verallgemeinerung des Verbands von Glauser, Master’s Thesis, University of Zurich 1977.
H. R. Glauser, Quadratische Formen in unendlichdimensionalen Vektorräumen im Falle von Charakteristik 2, Ph. D. Thesis, University of Zurich 1976.
H. Gross, Untersuchungen über quadratische Formen in Körpern der Charakteristik 2, J. reine angew. Math. 297 (1978), 80–91.
References to Appendix I
J. Dieudonné, Sur les groupes classiques. ASI 1040, Hermann Paris, 1958.
I. Kaplansky, Quadratic forms. J. Math. Soc. Japan 5 (1953) 200–207.
H. A. Keller, Algebras de cuaternios y formas cuadráticas sobre campos de característica 2. Notas matemáticas, Universidad Católica de Chile-Santiago, 8 (1978) 65–84.
T. Y. Lam, The algebraic Theory of quadratic forms. W.A. Benjamin Inc., Reading Massachusetts, 1973.
J. Tits, Formes quadratiques, groupes orthogonaux et algèbres de Clifford. Invent. math. 5 (1968) 19–41.
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Gross, H. (1979). ARFs Theorem in Dimension א0 . In: Quadratic Forms in Infinite Dimensional Vector Spaces. Progress in Mathematics, vol 1. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4899-3542-7_17
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DOI: https://doi.org/10.1007/978-1-4899-3542-7_17
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