Annihilators of the Ideal Class Group of an Imaginary Abelian Number Field

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F24%3A00135201" target="_blank" >RIV/00216224:14310/24:00135201 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1307/mmj/20226190" target="_blank" >http://dx.doi.org/10.1307/mmj/20226190</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1307/mmj/20226190" target="_blank" >10.1307/mmj/20226190</a>

Result language
angličtina
Original language name
Annihilators of the Ideal Class Group of an Imaginary Abelian Number Field
Original language description
The aim of this paper is a construction of new explicit annihilators of the minus part of the ideal class group of an imaginary abelian number field M, i.e., annihilators which are outside of the Stickelberger ideal, their usual source. This construction works for quite a large class of abelian fields M, a sufficient condition to get a new annihilator is that there is an odd prime l dividing the degree [M:Q], unramified in M/Q, and two primes q and q' ramifying in M/Q, having their decomposition groups cyclic of l-power order such that one of them is a subgroup of the other.
Czech name
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Czech description
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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

Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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