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Supriya Pisolkar
Absolute norms of p-primary units
Journal de théorie des nombres de Bordeaux, 21 no. 3 (2009), p. 735-742
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Résumé - Abstract

We prove a local analogue of a theorem of J. Martinet about the absolute norm of the relative discriminant ideal of an extension of number fields. The result can be seen as a statement about 2-primary units. We also prove a similar statement about the absolute norms of p-primary units, for all primes p.

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