| CHAPDELAINE, Hugo and Radan KUČERA. Annihilators of the ideal class group of a cyclic extension of an imaginary quadratic field. CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES. CAMBRIDGE: CAMBRIDGE UNIV PRESS, 2019, vol. 71, No 6, p. 1395-1419. ISSN 0008-414X. Available from: https://dx.doi.org/10.4153/CJM-2018-035-9. |
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@article{1475996,
author = {Chapdelaine, Hugo and Kučera, Radan},
article_location = {CAMBRIDGE},
article_number = {6},
doi = {http://dx.doi.org/10.4153/CJM-2018-035-9},
keywords = {annihilator; class group; elliptic unit.},
language = {eng},
issn = {0008-414X},
journal = {CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES},
title = {Annihilators of the ideal class group of a cyclic extension of an imaginary quadratic field},
url = {https://www.cambridge.org/core/journals/canadian-journal-of-mathematics/article/annihilators-of-the-ideal-class-group-of-a-cyclic-extension-of-an-imaginary-quadratic-field/C12CD26099B095A3A08E58AE8E3BE032},
volume = {71},
year = {2019}
}
TY - JOUR
ID - 1475996
AU - Chapdelaine, Hugo - Kučera, Radan
PY - 2019
TI - Annihilators of the ideal class group of a cyclic extension of an imaginary quadratic field
JF - CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES
VL - 71
IS - 6
SP - 1395-1419
EP - 1395-1419
PB - CAMBRIDGE UNIV PRESS
SN - 0008414X
KW - annihilator
KW - class group
KW - elliptic unit.
UR - https://www.cambridge.org/core/journals/canadian-journal-of-mathematics/article/annihilators-of-the-ideal-class-group-of-a-cyclic-extension-of-an-imaginary-quadratic-field/C12CD26099B095A3A08E58AE8E3BE032
L2 - https://www.cambridge.org/core/journals/canadian-journal-of-mathematics/article/annihilators-of-the-ideal-class-group-of-a-cyclic-extension-of-an-imaginary-quadratic-field/C12CD26099B095A3A08E58AE8E3BE032
N2 - The aim of this paper is to study the group of elliptic units of a cyclic extension L of an imaginary quadratic field K such that the degree [L:K] is a power of an odd prime p. We construct an explicit root of the usual top generator of this group and we use it to obtain an annihilation result of the p-Sylow subgroup of the ideal class group of L.
ER -
CHAPDELAINE, Hugo and Radan KUČERA. Annihilators of the ideal class group of a cyclic extension of an imaginary quadratic field. \textit{CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES}. CAMBRIDGE: CAMBRIDGE UNIV PRESS, 2019, vol.~71, No~6, p.~1395-1419. ISSN~0008-414X. Available from: https://dx.doi.org/10.4153/CJM-2018-035-9.
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