J 2014

Eigenspaces of the ideal class group

GREITHER, Cornelius and Radan KUČERA

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

Language

English

Type of outcome

Článek v odborném periodiku

Field of Study

10101 Pure mathematics

Country of publisher

France

Confidentiality degree

není předmětem státního či obchodního tajemství

References:

Impact factor

Impact factor: 0.669

RIV identification code

RIV/00216224:14310/14:00074168

Organization unit

Faculty of Science

UT WoS

000348011900012

Keywords in English

Gras’ conjecture; circular (cyclotomic) units; ideal class group; Euler system; annihilators of the class group

Tags

Tags

International impact, Reviewed
Změněno: 26/2/2015 16:33, prof. RNDr. Radan Kučera, DSc.

Abstract

V originále

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