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Steinitz classes of order 2 in quadratic and quartic fields

โœ Scribed by John A. Hymo; Charles J. Parry

Publisher
Elsevier Science
Year
1992
Tongue
English
Weight
365 KB
Volume
41
Category
Article
ISSN
0022-314X

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๐Ÿ“œ SIMILAR VOLUMES

The Exponent 2-Class-Group Problem for N
The Exponent 2-Class-Group Problem for Non-Galois Over Q Quartic Fields That Are Quadratic Extensions of Imaginary Quadratic Fields
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