Absolute norms of p-primary units
Pisolkar, Supriya1
1 Harish-Chandra Research Institute Chhatnag Road, Jhunsi Allahabad -211019, India.
Journal de théorie des nombres de Bordeaux, Tome 21 (2009) no. 3, pp. 735-742.

Nous prouvons un analogue local d’un théorème de J. Martinet sur la norme absolue du discrimant relatif d’une extension de corps de nombres. Ce résultat peut être vu comme un énoncé sur les unités 2-primaires. Nous prouvons également un résultat similaire pour la norme absolue des unités p-primaires, pour tout p premier.

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.

DOI : 10.5802/jtnb.699
Pisolkar, Supriya 1

1 Harish-Chandra Research Institute Chhatnag Road, Jhunsi Allahabad -211019, India. 
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Pisolkar, Supriya. Absolute norms of $p$-primary units. Journal de théorie des nombres de Bordeaux, Tome 21 (2009) no. 3, pp. 735-742. doi : 10.5802/jtnb.699. https://www.numdam.org/articles/10.5802/jtnb.699/

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