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Self-dual normal integral bases for infinite unramified extensions

✍ Scribed by Patrik Lundström

Book ID: 108346487
Publisher: Elsevier Science
Year: 2002
Tongue: English
Weight: 219 KB
Volume: 97
Category: Article
ISSN: 0022-314X
DOI: 10.1016/s0022-314x(02)00015-x

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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 KÂQ nor in Q(-&m)ÂQ, in terms of a congruence sa