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Finite simple groups which projectively embed in an exceptional Lie group are classified!

1999/01/01 by Robert L. Griess, A. J. E. Ryba · 2 citations
Mathematics · #Finite Group Theory Research #Advanced Algebra and Geometry #Algebraic structures and combinatorial models #Simple (philosophy) #Mathematics #Simple group #Classification of finite simple groups #Algebraic number #Group of Lie type #Lie group #Pure mathematics #Group theory #Sporadic group #Group (periodic table) #Algebra over a field #Classical group #Mathematical analysis #Physics

paper · pdf · doi:10.1090/s0273-0979-99-00771-5

openalex publication_date 1999/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/07

Abstract

Since finite simple groups are the building blocks of finite groups, it is natural to ask about their occurrence “in nature”. In this article, we consider their occurrence in algebraic groups and moreover discuss the general theory of finite subgroups of algebraic groups.

Citations

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