Relations in the 2-Class Group of Quadratic Number Fields

2011/08/31 by Lemmermeyer, Franz
#11R11 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1108.6213

Abstract

We construct a family of ideals representing ideal classes of order 2 in quadratic number fields and show that relations between their ideal classes are governed by certain cyclic quartic extensions of the rationals.

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