Witts Theorem for Quadratic Forms Over Non-Dyadic Discrete Valuation Rings
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Let R be a discrete valuation ring, with maximal ideal pR, such that ½ 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).
2019 ◽
Vol 56
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pp. 260-266
2005 ◽
Vol 15
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pp. 997-1012
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2017 ◽
Vol 16
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pp. 1750198
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1989 ◽
Vol 32
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pp. 166-168
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2018 ◽
Vol 17
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pp. 1850160
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1981 ◽
Vol 33
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pp. 116-128
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