The Sylow p-Subgroups of Tame Kernels in Dihedral Extensions of Number Fields
Qianqian Cui ; Haiyan Zhou
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 61 (2013), p. 113-121 / Harvested from The Polish Digital Mathematics Library
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Let F/E be a Galois extension of number fields with Galois group D2ⁿ. In this paper, we give some expressions for the order of the Sylow p-subgroups of tame kernels of F and some of its subfields containing E, where p is an odd prime. As applications, we give some results about the order of the Sylow p-subgroups when F/E is a Galois extension of number fields with Galois group D16.

Publié le : 2013-01-01
EUDML-ID : urn:eudml:doc:281218 
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     author = {Qianqian Cui and Haiyan Zhou},
     title = {The Sylow p-Subgroups of Tame Kernels in Dihedral Extensions of Number Fields},
     journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
     volume = {61},
     year = {2013},
     pages = {113-121},
     zbl = {1283.11158},
     language = {en},
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Qianqian Cui; Haiyan Zhou. The Sylow p-Subgroups of Tame Kernels in Dihedral Extensions of Number Fields. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 61 (2013) pp. 113-121. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba61-2-4/