A note on circular units in Zp-extensions

KUČERA, Radan. A note on circular units in Zp-extensions. Journal de Théorie des Nombres de Bordeaux. Bordeaux, Francie: Institut de Mathématiques de Bordeaux, 2003, vol. 15, No 1, p. 223-229. ISSN 1246-7405.

Basic information

Original name

A note on circular units in Zp-extensions

Authors

KUČERA, Radan (203 Czech Republic, guarantor)

Edition

Journal de Théorie des Nombres de Bordeaux, Bordeaux, Francie, Institut de Mathématiques de Bordeaux, 2003, 1246-7405

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Other information

Language

English

Type of outcome

Článek v odborném periodiku

Field of Study

10101 Pure mathematics

Country of publisher

France

Confidentiality degree

není předmětem státního či obchodního tajemství

RIV identification code

RIV/00216224:14310/03:00008184

Organization unit

Faculty of Science

Keywords in English

circular units; Zp-extensions

Tags

circular units, Zp-extensions

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Abstract

V originále

In this note we consider projective limits of Sinnott and Washington groups of circular units in the cyclotomic Zp-extension of an abelian field. A concrete example is given to show that these two limits do not coincide in general.

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Links

GA201/01/0471, research and development project

Name: Algebraické, analytické a kombinatorické metody teorie čísel Investor: Czech Science Foundation, Algebraic, analytic and combinatorial methods of number theory