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The Hasse principle for algebraic groups split over a quadratic extension

โœ Scribed by B. Yu. Veisfeiler


Publisher
Springer US
Year
1972
Tongue
English
Weight
186 KB
Volume
6
Category
Article
ISSN
0016-2663

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The Exponent 2-Class-Group Problem for N
โœ S. Louboutin ๐Ÿ“‚ Article ๐Ÿ“… 1994 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 350 KB

Focusing on a particular case, we will show that one can explicitly determine the quartic fields \(\mathbf{K}\) that have ideal class groups of exponent \(\leqslant 2\), provided that \(\mathbf{K} / \mathbf{Q}\) is not normal, provided that \(\mathbf{K}\) is a quadratic extension of a fixed imaginar