Genus theory and Euclidean ideals for real biquadratic fields
Su Hu,
Yan Li
Abstract:In this paper, we use the theory of genus fields to study the Euclidean ideals of certain real biquadratic fields K. Comparing with the previous works, our methods yield a new larger family of real biquadratic fields K having Euclidean ideals; and the conditions for our family seem to be more efficient for the computations. Moreover, the previous approaches mainly focus on the case if h K = 2, while the present approach can also deal with the general case when h K = 2 t (t ≥ 1), where h K denotes the ideal cla… Show more
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