Let L be an abelian number field of degree n with Galois group G of exponent 2, 3, 4 or 6. In this paper, we show how to compute easily a normal integral basis for L, if there is at least one, assuming that the group G and an integral basis for L are known.
A simple algorithm to find normal integral bases of abelian number fields of exponent 2, 3, 4 or 6
ACCIARO, Vincenzo
;CANGELMI, LEONARDO
2010-01-01
Abstract
Let L be an abelian number field of degree n with Galois group G of exponent 2, 3, 4 or 6. In this paper, we show how to compute easily a normal integral basis for L, if there is at least one, assuming that the group G and an integral basis for L are known.File in questo prodotto:
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