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Currently displaying 1 – 4 of 4

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Swan modules, class fieids, and class groups of cyclic p-groups.

Stephen V. ULLOM

Seminaire de Théorie des Nombres de Bordeaux

Action of Aut (.../...) on Zeta-Integrals and Local Constants.

Stephen V. Ullom — 1983

Mathematische Zeitschrift

Galois module structure of units in real biquadratic number fields

Marcin Mazur; Stephen V. Ullom — 2004

Acta Arithmetica

Unit indices and cohomology for biquadratic extensions of imaginary quadratic fields

Marcin Mazur; Stephen V. Ullom — 2008

Journal de Théorie des Nombres de Bordeaux

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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