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Algèbres simples centrales de degré 5 et E8

Published online by Cambridge University Press:  20 November 2018

Philippe Gille
Philippe Gille*
Affiliation:
Département de Mathématiques, CNRS Bât. 425, Université de Paris–Sud F-91405 Orsay Cedex France, courriel: [email protected]
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Abstract

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As a consequence of a theorem of Rost-Springer, we establish that the cyclicity problem for central simple algebra of degree 5 on fields containg a fifth root of unity is equivalent to the study of anisotropic elements of order 5 in the split group of type ${{E}_{8}}$.

Keywords

16S3512G0520G15algèbres simples centralescohomologie galoisienne
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 45 , Issue 3 , 01 September 2002 , pp. 388 - 398
Copyright
Copyright © Canadian Mathematical Society 2002

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