Relations in the 2-Class Group of Quadratic Number Fields

Details Relations in the 2-Class Group of Quadratic Number Fields Relations in the 2-Class Group of Quadratic Number Fields

2011-08-31

arxiv.org/abs/1108.6213v1

Mathematics

Number Theory

Scientific paper

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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