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The 4-class ranks of quadratic extensions of certain real quadratic fields

โœ Scribed by Frank Gerth III


Publisher
Elsevier Science
Year
1989
Tongue
English
Weight
628 KB
Volume
33
Category
Article
ISSN
0022-314X

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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

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