Journal of the Ramanujan Mathematical Society

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A Modern Proof of Chevalley’s Theorem on Algebraic Groups


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1 Department of Mathematics, University of Michigan, Ann Arbor, MI 48109, United States
     

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We use scheme-theoretic methods, particularly descent theory and the Nagata Compactification Theorem, to provide a modern proof of Chevalley’s structure theorem for abstract algebraic groups over perfect fields.


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  • A Modern Proof of Chevalley’s Theorem on Algebraic Groups

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Authors

Brian Conrad
Department of Mathematics, University of Michigan, Ann Arbor, MI 48109, United States

Abstract


We use scheme-theoretic methods, particularly descent theory and the Nagata Compactification Theorem, to provide a modern proof of Chevalley’s structure theorem for abstract algebraic groups over perfect fields.