Mathematics – Number Theory
Scientific paper
2008-07-08
Mathematics
Number Theory
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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