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Unramified Quadratic Extensions of a Quadratic Field

open access: yesRocky Mountain Journal of Mathematics, 1995
The authors determine all quartic number fields \(L/\mathbb{Q}\) possessing a quadratic subfield \(\mathbb{Q}\subset K\subset L\) such that \(L/K\) is unramified at all finite primes. They do this by an explicit calculation of the generators and make no use of Hilbert's theory.
Spearman, Blair K., Williams, Kenneth S.
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RELATIVE QUADRATIC EXTENSIONS

Total Mean Curvature and Submanifolds of Finite Type, 1988
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On quadratic forms over inseparable quadratic extensions

Archiv Der Mathematik, 1994
The author discusses quadratic forms under inseparable quadratic extensions \(K=k (\sqrt{d})\), where \(\text{char } k=2\). He proves the following theorem that is sharper than that conjectured by \textit{R. Baeza} [Math. Z. 135, 175-184 (1974; Zbl 0263.15015)], namely, if \(q\) is a non- singular anisotropic \(k\)-form of dimension \(4m\) or \(4m+2 ...
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QUADRATIC EXTENSIONS OF Q

Total Mean Curvature and Submanifolds of Finite Type, 1988
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Gradings of Quadratic Kummer Extensions

Moscow University Mathematics Bulletin, 2022
D. A. Badulin, A. L. Kanunnikov
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