Eigenspaces of the ideal class group

GREITHER, Cornelius and Radan KUČERA. Eigenspaces of the ideal class group. Annales de l'Institut Fourier. Grenoble: Université Joseph Fourier Grenoble, 2014, vol. 64, No 5, p. 2165-2203. ISSN 0373-0956. Available from: https://dx.doi.org/10.5802/aif.2908.

Basic information

• Original name: Eigenspaces of the ideal class group
• Authors: GREITHER, Cornelius (276 Germany) and Radan KUČERA (203 Czech Republic, guarantor, belonging to the institution).
• Edition: Annales de l'Institut Fourier, Grenoble, Université Joseph Fourier Grenoble, 2014, 0373-0956.

Other information

• Original language: English
• Type of outcome: Article in a journal
• Field of Study: 10101 Pure mathematics
• Country of publisher: France
• Confidentiality degree: is not subject to a state or trade secret
• WWW: URL
• Impact factor: Impact factor: 0.669
• RIV identification code: RIV/00216224:14310/14:00074168
• Organization unit: Faculty of Science
• Doi: http://dx.doi.org/10.5802/aif.2908
• UT WoS: 000348011900012
• Keywords in English: Gras’ conjecture; circular (cyclotomic) units; ideal class group; Euler system; annihilators of the class group
• Tags: AKR, rivok
• Tags: International impact, Reviewed

Abstract

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 Galois group Gal (F/Q) is cyclic.

Links

• GAP201/11/0276, research and development project: Name: Grupy tříd ideálů algebraických číselných těles

Investor: Czech Science Foundation