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Normal integral bases in quadratic and cyclic cubic extensions of quadratic fields

โœ Scribed by J. E. Carter


Publisher
Springer
Year
2003
Tongue
English
Weight
88 KB
Volume
81
Category
Article
ISSN
0003-889X

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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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