Geodesic
Annihilators of the class group of a compositum of quadratic fields
Archivum mathematicum, Tome 49 (2013) no. 4, pp. 209-222.

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This paper is devoted to a construction of new annihilators of the ideal class group of a tamely ramified compositum of quadratic fields. These annihilators are produced by a modified Rubin’s machinery. The aim of this modification is to give a stronger annihilation statement for this specific type of fields.
DOI : 10.5817/AM2013-4-209
Classification : 11G16, 11R20, 11R27, 11R29
Keywords: annihilators; class group; circular (cyclotomic) units; compositum of quadratic fields 
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Herman, Jan. Annihilators of the class group of a compositum of quadratic fields. Archivum mathematicum, Tome 49 (2013) no. 4, pp. 209-222. doi : 10.5817/AM2013-4-209. http://geodesic.mathdoc.fr/articles/10.5817/AM2013-4-209/

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