La theorie des groupes algebriques sur un corps arbitraire est l'une des branches les plus merveilleuses des mathematiques modernes. Cette monographie porte sur les groupes algebriques semi-simples definis sur un corps k de dimension cohomologique separable 2 et la cohomologie galoisienne d'iceux. La question ouverte la plus importante est la conjecture II de Serre (1962) qui predit l'annulation de la cohomologie galoisienne d'un groupe semi-simple simplement connexe. Utilisant principalement des techniques de groupes algebriques, on couvre tous les cas connus de la conjecture: les cas classiques (dus a Bayer-Fluckiger and Parimala) ainsi que les avancees sur les cas exceptionnels restants (par exemple de type E8). Ceci s'applique a la classification des groupes semi-simples. The theory of algebraic groups over arbitrary fields is one of the most beautiful branches of modern mathematics. This monograph deals with semisimple algebraic groups over a general field k of separable cohomological dimension ^ to Bayer-Fluckiger and Parimala), and some perspectives are given on the remaining exceptional cases (e.g., G of type E8). Applications to the classification of semisimple k-groups are presented.

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This scarce antiquarian book is a selection from Kessinger Publishing's Legacy Reprint Series. Due to its age, it may contain imperfections such as marks, notations, marginalia and flawed pages. Because we believe this work is culturally important, we have made it available as part of our commitment to protecting, preserving, and promoting the world's literature. Kessinger Publishing is the place to find hundreds of thousands of rare and hard-to-find books with something of interest for everyone

Translated And Adapted By Theodore T. Barker.

This scarce antiquarian book is a facsimile reprint of the original. Due to its age, it may contain imperfections such as marks, notations, marginalia and flawed pages. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions that are true to the original work.

Translated And Adapted By Theodore T. Barker.