Annihilators of the ideal class group of a cyclic extension of an imaginary quadratic field
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F19%3A00107206" target="_blank" >RIV/00216224:14310/19:00107206 - isvavai.cz</a>
Result on the web
<a href="https://www.cambridge.org/core/journals/canadian-journal-of-mathematics/article/annihilators-of-the-ideal-class-group-of-a-cyclic-extension-of-an-imaginary-quadratic-field/C12CD26099B095A3A08E58AE8E3BE032" target="_blank" >https://www.cambridge.org/core/journals/canadian-journal-of-mathematics/article/annihilators-of-the-ideal-class-group-of-a-cyclic-extension-of-an-imaginary-quadratic-field/C12CD26099B095A3A08E58AE8E3BE032</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.4153/CJM-2018-035-9" target="_blank" >10.4153/CJM-2018-035-9</a>
Alternative languages
Result language
angličtina
Original language name
Annihilators of the ideal class group of a cyclic extension of an imaginary quadratic field
Original language description
The aim of this paper is to study the group of elliptic units of a cyclic extension L of an imaginary quadratic field K such that the degree [L:K] is a power of an odd prime p. We construct an explicit root of the usual top generator of this group and we use it to obtain an annihilation result of the p-Sylow subgroup of the ideal class group of L.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
<a href="/en/project/GA15-15785S" target="_blank" >GA15-15785S: The ideal class groups of abelian number fields</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES
ISSN
0008-414X
e-ISSN
1496-4279
Volume of the periodical
71
Issue of the periodical within the volume
6
Country of publishing house
GB - UNITED KINGDOM
Number of pages
25
Pages from-to
1395-1419
UT code for WoS article
000496552800005
EID of the result in the Scopus database
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