| KUČERA, Radan. On Annihilators of the Class Group of an Imaginary Compositum of Quadratic Fields. Acta Arithmetica. Varšava, Polsko: Matematický institut Polské akademie věd, 2010, vol. 143, No 3, p. 257-269. ISSN 0065-1036. |
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@article{889288,
author = {Kučera, Radan},
article_location = {Varšava, Polsko},
article_number = {3},
keywords = {Stickelberger ideal; imaginary compositum of quadratic fields; annihilators of the class group},
language = {eng},
issn = {0065-1036},
journal = {Acta Arithmetica},
title = {On Annihilators of the Class Group of an Imaginary Compositum of Quadratic Fields},
volume = {143},
year = {2010}
}
TY - JOUR
ID - 889288
AU - Kučera, Radan
PY - 2010
TI - On Annihilators of the Class Group of an Imaginary Compositum of Quadratic Fields
JF - Acta Arithmetica
VL - 143
IS - 3
SP - 257-269
EP - 257-269
PB - Matematický institut Polské akademie věd
SN - 00651036
KW - Stickelberger ideal
KW - imaginary compositum of quadratic fields
KW - annihilators of the class group
N2 - Let k be a tamely ramified imaginary compositum of quadratic fields. The aim of the paper is to construct new explicit annihilators of the class group of k not belonging to the Stickelberger ideal. These new annihilators are obtained as quotients of elements of the Stickelberger ideal, the usual source of annihilators, by suitable powers of 2.
ER -
KUČERA, Radan. On Annihilators of the Class Group of an Imaginary Compositum of Quadratic Fields. \textit{Acta Arithmetica}. Varšava, Polsko: Matematický institut Polské akademie věd, 2010, vol.~143, No~3, p.~257-269. ISSN~0065-1036.
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