Classification of finite quasisimple groups which embed in exceptional algebraic groups

DOI10.1515/jgth.2001.037zbMath1025.20003OpenAlexW2066064074MaRDI QIDQ2776798

Robert L. jun. Griess, Alexander J. E. Ryba

Publication date: 18 September 2003

Published in: Journal of Group Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jgth.2001.037

zbMATH Keywords

central extensionsprojective embeddingsprojective representationsexceptional algebraic groupsquasisimple groups

Mathematics Subject Classification ID

Simple groups: sporadic groups (20D08) Subgroup theorems; subgroup growth (20E07) Maximal subgroups (20E28) Simple groups (20E32) Discrete subgroups of Lie groups (22E40) Extensions, wreath products, and other compositions of groups (20E22) Linear algebraic groups over the reals, the complexes, the quaternions (20G20) Finite simple groups and their classification (20D05) Simple groups: alternating groups and groups of Lie type (20D06)

Related Items (6)

Integral forms in vertex operator algebras which are invariant under finite groups ⋮ Polyhedral groups in ⋮ Embeddings of \(Alt_n\) and its perfect covers for \(n\geq 6\) in exceptional complex Lie groups. ⋮ A Moonshine path for \(5A\) and associated lattices of ranks 8 and 16. ⋮ Research topics in finite groups and vertex algebras ⋮ Finite simple groups which projectively embed in an exceptional Lie group are classified!

Cites Work

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