On the Galois structure of the square root of the codifferent

D. Burns

doi:10.5802/jtnb.43

D. Burns

Journal de Théorie des Nombres de Bordeaux, Volume 3 (1991) no. 1, pp. 73-92.

Abstract
Résumé

Let $L$ be a finite abelian extension of $ℚ$ , with $𝒪_{L}$ the ring of algebraic integers of $L$ . We investigate the Galois structure of the unique fractional $𝒪_{L}$ -ideal which (if it exists) is unimodular with respect to the trace form of $L / ℚ$ .

Soit $L$ une extension abélienne finie de $ℚ$ , et $𝒪_{L}$ son anneau des entiers. Nous poursuivons l’étude du seul idéal fractionnaire de $𝒪_{L}$ qui (s’il existe) est unimodulaire pour la forme trace de $L / ℚ$ .

MR: 1116102 | Zbl: 0727.11047

DOI: 10.5802/jtnb.43
Classification: 11R33
Keywords: corps de nombres, formes quadratiques entières

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D. Burns. On the Galois structure of the square root of the codifferent. Journal de Théorie des Nombres de Bordeaux, Volume 3 (1991) no. 1, pp. 73-92. doi : 10.5802/jtnb.43. https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.43/

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