Circular units of real abelian fields with four ramified primes

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F17%3A00095073" target="_blank" >RIV/00216224:14310/17:00095073 - isvavai.cz</a>

Result on the web

<a href="http://dx.doi.org/10.5817/AM2017-4-221" target="_blank" >http://dx.doi.org/10.5817/AM2017-4-221</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.5817/AM2017-4-221" target="_blank" >10.5817/AM2017-4-221</a>

Result language

angličtina

Original language name

Circular units of real abelian fields with four ramified primes

Original language description

In this paper we study the groups of circular numbers and circular units in Sinnott's sense in real abelian fields with exactly four ramified primes under certain conditions. More specifically, we construct their Z-bases in five special infinite families of cases. We also derive some results about the corresponding module of relations (in one family of cases, we show that the module of Ennola relations is cyclic).

Czech name

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Czech description

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Type

J_imp - 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

<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)

Publication year

2017

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Archivum Mathematicum

ISSN

1212-5059

e-ISSN

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Volume of the periodical

53

Issue of the periodical within the volume

4

Country of publishing house

CZ - CZECH REPUBLIC

Number of pages

32

Pages from-to

221-252

UT code for WoS article

000419967000003

EID of the result in the Scopus database

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