Eigenspaces of the ideal class group

Greither, Cornelius; Kučera, Radan

doi:10.5802/aif.2908

Greither, Cornelius; Kučera, Radan

Annales de l'Institut Fourier, Volume 64 (2014) no. 5, p. 2165-2203

Abstract
Résumé

The aim of this paper is to prove an analog of Gras’ conjecture for an abelian field $F$ and an odd prime $p$ dividing the degree $[F : ℚ]$ assuming that the $p$ -part of $Gal (F / ℚ)$ group is cyclic.

Cet article se propose de démontrer une version analogue de la conjecture de Gras pour un corps abélien $F$ et un nombre premier $p > 2$ qui divise le degré $[F : ℚ]$ . On fait l’hypothèse que la $p$ -partie du groupe $Gal (F / ℚ)$ est cyclique.

MR 3330935 | Zbl 06387335

DOI : https://doi.org/10.5802/aif.2908
Classification: 11R20, 11R29
Keywords: Gras’ conjecture, circular (cyclotomic) units, ideal class group, Euler system, annihilators of the class group

@article{AIF_2014__64_5_2165_0,
     author = {Greither, Cornelius and Ku\v cera, Radan},
     title = {Eigenspaces of the ideal class group},
     journal = {Annales de l'Institut Fourier},
     publisher = {Association des Annales de l'institut Fourier},
     volume = {64},
     number = {5},
     year = {2014},
     pages = {2165-2203},
     doi = {10.5802/aif.2908},
     mrnumber = {3330935},
     zbl = {06387335},
     language = {en},
     url = {http://www.numdam.org/item/AIF_2014__64_5_2165_0}
}

Greither, Cornelius; Kučera, Radan. Eigenspaces of the ideal class group. Annales de l'Institut Fourier, Volume 64 (2014) no. 5, pp. 2165-2203. doi : 10.5802/aif.2908. http://www.numdam.org/item/AIF_2014__64_5_2165_0/

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