Comparing orders of Selmer groups
Journal de Théorie des Nombres de Bordeaux, Volume 17 (2005) no. 2, pp. 467-473.

Using both class field and Kummer theories, we propose calculations of orders of two Selmer groups, and compare them: the quotient of the orders only depends on local criteria.

En utilisant la théorie du corps de classes et la théorie de Kummer, nous calculons l’ordre de deux groupes de Selmer, et nous les comparons : le quotient des deux ordres ne dépend que de conditions locales.

Published online:
DOI: 10.5802/jtnb.502
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Sébastien Bosca. Comparing orders of Selmer groups. Journal de Théorie des Nombres de Bordeaux, Volume 17 (2005) no. 2, pp. 467-473. doi : 10.5802/jtnb.502. https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.502/

[1] Henri Cohen, Francisco Diaz y Diaz, Michel Olivier, Counting Cyclic Quartic Extensions of a Number Field. Journal de Théorie des Nombres de Bordeaux 17 (2005), 475–510. | Numdam | MR: 2211303 | Zbl: 05016570

[2] Georges Gras, Class Field Theory, from theory to practice. Springer Monographs in Mathematics, second edition 2005. | MR: 1941965 | Zbl: 1019.11032

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