GREITHER, Cornelius and Radan KUČERA. Annihilators of minus class groups of imaginary abelian fields. Annales de l'Institut Fourier. Grenoble: Université Joseph Fourier Grenoble, 2007, vol. 57, No 5, p. 1623-1653. ISSN 0373-0956.
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Basic information
Original name Annihilators of minus class groups of imaginary abelian fields
Name in Czech Anihilátory mínus-části grupy tříd ideálů imaginárních abelovských těles
Authors GREITHER, Cornelius (276 Germany) and Radan KUČERA (203 Czech Republic, guarantor).
Edition Annales de l'Institut Fourier, Grenoble, Université Joseph Fourier Grenoble, 2007, 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: 0.722
RIV identification code RIV/00216224:14310/07:00020463
Organization unit Faculty of Science
UT WoS 000251311600012
Keywords in English Imaginary abelian number fields; minus part of the ideal class group; annihilators; Stickelberger ideal; Fitting ideals
Tags annihilators, Fitting ideals, Imaginary abelian number fields, Stickelberger ideal
Changed by Changed by: prof. RNDr. Radan Kučera, DSc., učo 59. Changed: 8/10/2009 12:33.
Abstract
For certain imaginary abelian fields we find annihilators of the minus part of the class group outside the Stickelberger ideal. Depending on the exact situation, we use different techniques to do this. Our theoretical results are complemented by numerical calculations concerning borderline cases.
Abstract (in Czech)
Pro jistá imaginární abelovská tělesa nalézáme anihilátory mínus-části grupy tříd ideálů vně Stickelbergerova ideálu. V závislosti na konkrétní situaci pro to užíváme různé techniky. Náš teoretický výsledek je doplněn numerickými výpočty týkajícími se hraničních případů.
Links
GA201/04/0381, research and development projectName: Metody teorie čísel
Investor: Czech Science Foundation, Methods of number theory
MSM0021622409, plan (intention)Name: Matematické struktury a jejich fyzikální aplikace
Investor: Ministry of Education, Youth and Sports of the CR, Mathematical structures and their physical applications
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