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, roč. 143, č. 3, s. 257-269. ISSN 0065-1036. |
Další formáty:
BibTeX
LaTeX
RIS
@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, roč.~143, č.~3, s.~257-269. ISSN~0065-1036.
|