In the sooner monograph Pseudo-reductive Groups, Brian Conrad, Ofer Gabber, and Gopal Prasad explored the overall constitution of pseudo-reductive teams. during this new booklet, Classification of Pseudo-reductive Groups, Conrad and Prasad cross extra to review the class over an arbitrary box. An isomorphism theorem proved right here determines the automorphism schemes of those teams. The ebook additionally provides a Tits-Witt sort category of isotropic teams and monitors a cohomological obstruction to the life of pseudo-split types. structures according to average degenerate quadratic types and new suggestions with critical extensions offer perception into new phenomena in attribute 2, which additionally ends up in simplifications of the sooner paintings. A generalized common building is proven to account for all chances as much as gentle crucial extensions.
The effects and techniques constructed in Classification of Pseudo-reductive teams will curiosity mathematicians and graduate scholars who paintings with algebraic teams in quantity idea and algebraic geometry in optimistic attribute.
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