Absolute norms of p-primary units

Mathematics – Number Theory

Scientific paper

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9 pages

Scientific paper

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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