Washingtonova grupa kruhových jednotek některých komposit kvadratických těles

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F05%3A00012374" target="_blank" >RIV/00216224:14310/05:00012374 - isvavai.cz</a>

Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

On Washington group of circular units of some composita of quadratic fields

Popis výsledku v původním jazyce

Circular units emerge in many occasions in algebraic number theory as they have tight connection (first discovered by E. Kummer) to the class group of the respective number field. For example, E. Kummer has shown that in the case of cyclotomic field withprime conductor the index of the group of circular units in the full group of units is equal to the class number of the maximal real subfield of that field. His result was later generalized so we are now able to obtain information about class groups bythe study of circular units. In contrast to the case of cyclotomic field it is not clear how to define the group of circular units of a general abelian number field K. In the literature there eventually turned up several possible definitions of a group of circular units. One of these definitions (which appeared in the Washington's book Introduction to cyclotomic fields) constructs the group of circular units to be as large as possible - it considers all circular units of the respective c

Název v anglickém jazyce

On Washington group of circular units of some composita of quadratic fields

Popis výsledku anglicky

Circular units emerge in many occasions in algebraic number theory as they have tight connection (first discovered by E. Kummer) to the class group of the respective number field. For example, E. Kummer has shown that in the case of cyclotomic field withprime conductor the index of the group of circular units in the full group of units is equal to the class number of the maximal real subfield of that field. His result was later generalized so we are now able to obtain information about class groups bythe study of circular units. In contrast to the case of cyclotomic field it is not clear how to define the group of circular units of a general abelian number field K. In the literature there eventually turned up several possible definitions of a group of circular units. One of these definitions (which appeared in the Washington's book Introduction to cyclotomic fields) constructs the group of circular units to be as large as possible - it considers all circular units of the respective c

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BA - Obecná matematika

OECD FORD obor

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Projekt

<a href="/cs/project/GA201%2F04%2F0381" target="_blank" >GA201/04/0381: Metody teorie čísel</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2005

Kód důvěrnosti údajů

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

Název periodika

Math. Slovaca

ISSN

0139-9918

e-ISSN

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Svazek periodika

55

Číslo periodika v rámci svazku

1

Stát vydavatele periodika

CZ - Česká republika

Počet stran výsledku

8

Strana od-do

39-46

Kód UT WoS článku

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EID výsledku v databázi Scopus

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