English

Absolute norms of p-primary units

Number Theory 2008-07-09 v1

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.

Keywords

Cite

@article{arxiv.0807.1174,
  title  = {Absolute norms of p-primary units},
  author = {Supriya Pisolkar},
  journal= {arXiv preprint arXiv:0807.1174},
  year   = {2008}
}

Comments

9 pages

R2 v1 2026-06-21T10:58:22.392Z