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@article{2316157, author = {Francírek, Pavel and Kučera, Radan}, article_location = {UNITED STATES}, doi = {http://dx.doi.org/10.1307/mmj/20226190}, keywords = {Imaginary abelian number fields; minus part of the ideal class group; annihilators; Stickelberger ideal; Sinnott module}, language = {eng}, issn = {0026-2285}, journal = {MICHIGAN MATHEMATICAL JOURNAL}, title = {Annihilators of the Ideal Class Group of an Imaginary Abelian Number Field}, url = {http://dx.doi.org/10.1307/mmj/20226190}, year = {2023} }
TY - JOUR ID - 2316157 AU - Francírek, Pavel - Kučera, Radan PY - 2023 TI - Annihilators of the Ideal Class Group of an Imaginary Abelian Number Field JF - MICHIGAN MATHEMATICAL JOURNAL PB - MICHIGAN MATHEMATICAL JOURNAL SN - 00262285 KW - Imaginary abelian number fields KW - minus part of the ideal class group KW - annihilators KW - Stickelberger ideal KW - Sinnott module UR - http://dx.doi.org/10.1307/mmj/20226190 N2 - The aim of this paper is a construction of new explicit annihilators of the minus part of the ideal class group of an imaginary abelian number field M, i.e., annihilators which are outside of the Stickelberger ideal, their usual source. This construction works for quite a large class of abelian fields M, a sufficient condition to get a new annihilator is that there is an odd prime l dividing the degree [M:Q], unramified in M/Q, and two primes q and q' ramifying in M/Q, having their decomposition groups cyclic of l-power order such that one of them is a subgroup of the other. ER -
FRANCÍREK, Pavel and Radan KUČERA. Annihilators of the Ideal Class Group of an Imaginary Abelian Number Field. \textit{MICHIGAN MATHEMATICAL JOURNAL}. UNITED STATES: MICHIGAN MATHEMATICAL JOURNAL, 2023. ISSN~0026-2285. Available from: https://dx.doi.org/10.1307/mmj/20226190.
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