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We investigate as Galois module the unit group of biquadratic extensions $L / M$ of number fields. The $2$ -rank of the first cohomology group of units of $L / M$ is computed for general $M$ . For $M$ imaginary quadratic we determine a large portion of the cases (including all unramified $L / M$ ) where the index $[V : V_{1} V_{2} V_{3}]$ takes its maximum value $8$ , where $V$ are units mod torsion of $L$ and $V_{i}$ are units mod torsion of one of the 3 quadratic subfields of $L / M$ .

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Über die absolute Galoisgruppe algebraischer Zahlkörper.

Über die absolute Galoisgruppe algebraischer Zahlkörper

Über die Werte der Riemannschen Zetafunktion an den ganzzahligen Stellen.

Über gewisse Galoiscohomologiegruppen.

Un critère numérique de résolubilité de problèmes de plongement

Unit indices and cohomology for biquadratic extensions of imaginary quadratic fields

Currently displaying 1 – 6 of 6