A note on integral bases of unramified cyclic extensions of prime degree
β Scribed by Humio Ichimura
- Publisher
- Vandenhoeck & Ruprecht
- Year
- 2000
- Tongue
- German
- Weight
- 181 KB
- Volume
- 70
- Category
- Article
- ISSN
- 0025-5858
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π SIMILAR VOLUMES
Let L be a cyclic number field of prime degree p. In this paper we study how to compute efficiently a normal integral basis for L, if there is at least one, assuming that an integral basis Ξ for L is known. We reduce our problem to the problem of finding the generator of a principal ideal in the pth
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 KΓQ nor in Q(-&m)ΓQ, in terms of a congruence sa