Journal of the Ramanujan Mathematical Society

Open Access Open Access  Restricted Access Subscription Access
Open Access Open Access Open Access  Restricted Access Restricted Access Subscription Access

A Modern Proof of Chevalley’s Theorem on Algebraic Groups


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

   Subscribe/Renew Journal


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.


User
Subscription Login to verify subscription
Notifications
Font Size

Abstract Views: 516

PDF Views: 0




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

Abstract Views: 516  |  PDF Views: 0

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.