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Maximal unramified 3-extensions of imaginary quadratic fields and

โœ Scribed by Laurent Bartholdi; Michael R. Bush


Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
131 KB
Volume
124
Category
Article
ISSN
0022-314X

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๐Ÿ“œ SIMILAR VOLUMES


Unramified Quadratic Extensions of Real
โœ A Srivastav; S Venkataraman ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 320 KB

Let K=Q(-m) be a real quadratic number field. In this article, we find a necessary and sufficient condition for K to admit an unramified quadratic extension with a normal integral basis distinct from K(-&1), provided that the prime 2 splits neither in Kร‚Q nor in Q(-&m)ร‚Q, in terms of a congruence sa