no. 5
Eigenspaces of the ideal class group
[Parties χ-invariantes dans les groupes de classes]
Greither, Cornelius1 ; Kučera, Radan2
1 Universität der Bundeswehr München Fakultät für Informatik Institut für theoretische Informatik, Mathematik und OR 85577 Neubiberg (Germany)
2 Masaryk University Faculty of Science 611 37 Brno (Czech Republic)
Annales de l'Institut Fourier, Tome 64 (2014) no. 5, pp. 2165-2203.

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.

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.

DOI : 10.5802/aif.2908
Classification : 11R20, 11R29
Keywords: Gras’ conjecture, circular (cyclotomic) units, ideal class group, Euler system, annihilators of the class group
Mot clés : conjecture de Gras, unités cyclotomiques, groupe des classes, systèmes d’Euler, annulateurs du groupe des classes

Greither, Cornelius 1 ; Kučera, Radan 2

1 Universität der Bundeswehr München Fakultät für Informatik Institut für theoretische Informatik, Mathematik und OR 85577 Neubiberg (Germany)
2 Masaryk University Faculty of Science 611 37 Brno (Czech Republic) 
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Greither, Cornelius; Kučera, Radan. Eigenspaces of the ideal class group. Annales de l'Institut Fourier, Tome 64 (2014) no. 5, pp. 2165-2203. doi : 10.5802/aif.2908. https://aif.centre-mersenne.org/articles/10.5802/aif.2908/

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