On the index of circular units in the full group of units of a compositum of quadratic fields

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F08%3A00029074" target="_blank" >RIV/00216224:14310/08:00029074 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Result language
angličtina
Original language name
On the index of circular units in the full group of units of a compositum of quadratic fields
Original language description
For a compositum of quadratic fields k = Q(pd1; : : : ;pds); where d1; : : : ; ds are square-free odd integers and d1 = 3 (mod 4); we study the group C of circular units of k: We construct a basis of C; compute the index of C in the full group of units of k and derive a lower bound for the divisibility of this index by a power of 2: These results give a lower bound for the divisibility of the class number of the maximal real subfield of k by a power of 2
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
<a href="/en/project/GA201%2F07%2F0191" target="_blank" >GA201/07/0191: Algebraic, analytic and combinatorial number theory</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2008
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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