Assim, J. and Mazigh, Y. and Oukhaba, H.
(2017)
*Théorie d'Iwasawa des unités de Stark et groupe de classes.*
International Journal of Number Theory, 13 (5).
pp. 1165-1190.

## Abstract

Let K be a number field and let p be an odd rational prime. Let K∞ be a &p-extension of K and let L∞ be a finite extension of K∞, abelian over K. In this paper we extend the classical results, e.g. 16, relating characteristic ideal of the -quotient of the projective limit of the ideal class groups to the -quotient of the projective limit of units modulo Stark units, in the non-semi-simple case, for some p-irreductible characters of Gal(L∞/K∞). The proof essentially uses the theory of Euler systems. © 2017 World Scientific Publishing Company.

Item Type: | Article |
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Subjects: | Mathematics |

Divisions: | SCIENTIFIC PRODUCTION > Mathematics |

Depositing User: | Administrateur Eprints Administrateur Eprints |

Last Modified: | 31 Jan 2020 15:48 |

URI: | http://eprints.umi.ac.ma/id/eprint/3944 |

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