Circular units of an abelian field ramified at three primes

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F16%3A00087783" target="_blank" >RIV/00216224:14310/16:00087783 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.jnt.2015.11.023" target="_blank" >http://dx.doi.org/10.1016/j.jnt.2015.11.023</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.jnt.2015.11.023" target="_blank" >10.1016/j.jnt.2015.11.023</a>

Result language
angličtina
Original language name
Circular units of an abelian field ramified at three primes
Original language description
This paper constructs a basis and gives a presentation of Sinnott's group of circular units for a real abelian field k ramified at three primes whose genus field K in the narrow sense has cyclic relative Galois group Gal(K/k). It is shown that, for this type of fields, the quotient of the module of all relations satisfied by circular units by the submodule generated by all norm relations is a cyclic module generated by an Ennola relation.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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