Geodesic
Witts Theorem for Quadratic Forms Over Non-Dyadic Discrete Valuation Rings
Canadian journal of mathematics, Tome 29 (1977) no. 5, pp. 928-936

Voir la notice de l'article provenant de la source Cambridge University Press

Let R be a discrete valuation ring, with maximal ideal pR, such that 1⁄2 ε R. Let L be a finitely generated R-module and B : L × L → R a non-degenerate symmetric bilinear form. The module L is called a quadratic module. For notational convenience we shall write xy = B(x, y). Let O(L) be the group of isometries, i.e. all R-linear isomorphisms φ : L → L such that B((φ(x), (φ(y)) = B(x, y). 
Cohen, David Mordecai. Witts Theorem for Quadratic Forms Over Non-Dyadic Discrete Valuation Rings. Canadian journal of mathematics, Tome 29 (1977) no. 5, pp. 928-936. doi: 10.4153/CJM-1977-093-7
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