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Comptes Rendus Mathématique
Volume 347, n° 23-24
pages 1415-1418 (décembre 2009)
Doi : 10.1016/j.crma.2009.10.018
Received : 13 April 2009 ;  accepted : 14 October 2009
The image of Singer’s fourth transfer
L’image du quatrième transfert de Singer
 

Nguyễn H.V. Hu’ng , Võ T.N. Quy`nh
Department of Mathematics, Vietnam National University, Hanoi, 334 Nguyễn Trãi Street, Hanoi, Vietnam 

Abstract

We complete in this Note the description of Singer’s fourth transfer, already studied by many authors. More precisely, we show that each element of the family   belongs to the image of this fourth transfer. Combining this with previous results by R. Bruner, L.M. Hà, T.N. Nam and the first author, we deduce that the image of the algebraic transfer contains all the elements of the families  ,  ,   and  , but none from the families  ,   and  .

The method used to prove that elements are in the transfer’s image can be applied not only to the family of  ’s but to the families of  ’s,  ’s and  ’s as well. To cite this article: N.H.V. Hu’ng, V.T.N. Quy`nh, C. R. Acad. Sci. Paris, Ser. I 347 (2009).

The full text of this article is available in PDF format.
Résumé

Dans cette Note on achève la description du quatriéme transfert de Singer, complétant ainsi le travail de nombreux auteurs. Plus précisement on montre que chaque élément de la famille   appartient à l’image du quatriéme transfert. Combinant cela avec des résultats antérieurs de R. Bruner, L.M. Hà, T.N. Nam, et du premier auteur, on en déduit que l’image du transfert algébrique contient chaque élément des quatre familles  ,  ,  , et  , et ne contient aucun élément des trois familles  ,  , and  .

La méthode utilisée pour montrer que des éléments sont dans l’image du transfert peut être appliquée non seulement à la famille   mais aussi aux familles  ,  , and  . Pour citer cet article : N.H.V. Hu’ng, V.T.N. Quy`nh, C. R. Acad. Sci. Paris, Ser. I 347 (2009).

The full text of this article is available in PDF format.

 The work was supported in part by a grant of the NAFOSTED.



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