Let be a finite abelian extension of , with the ring of algebraic integers of . We investigate the Galois structure of the unique fractional -ideal which (if it exists) is unimodular with respect to the trace form of .
Soit une extension abélienne finie de , et son anneau des entiers. Nous poursuivons l’étude du seul idéal fractionnaire de qui (s’il existe) est unimodulaire pour la forme trace de .
@article{JTNB_1991__3_1_73_0, author = {D. Burns}, title = {On the {Galois} structure of the square root of the codifferent}, journal = {Journal de Th\'eorie des Nombres de Bordeaux}, pages = {73--92}, publisher = {Universit\'e Bordeaux I}, volume = {3}, number = {1}, year = {1991}, doi = {10.5802/jtnb.43}, zbl = {0727.11047}, mrnumber = {1116102}, language = {en}, url = {https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.43/} }
TY - JOUR TI - On the Galois structure of the square root of the codifferent JO - Journal de Théorie des Nombres de Bordeaux PY - 1991 DA - 1991/// SP - 73 EP - 92 VL - 3 IS - 1 PB - Université Bordeaux I UR - https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.43/ UR - https://zbmath.org/?q=an%3A0727.11047 UR - https://www.ams.org/mathscinet-getitem?mr=1116102 UR - https://doi.org/10.5802/jtnb.43 DO - 10.5802/jtnb.43 LA - en ID - JTNB_1991__3_1_73_0 ER -
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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