Embeddings of \(U_ 3(8)\), \(Sz(8)\) and the Rudvalis group in algebraic groups of type \(E_ 7\)

DOI10.1007/BF01231561zbMath0796.20014OpenAlexW1973885976MaRDI QIDQ1320048

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

Publication date: 11 October 1994

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/144188

zbMATH Keywords

embeddingunitary groupSuzuki groupnonabelian cohomologyrepresentation theory of finite groupscomputer calculations\(p\)-local analysis in groups of Lie typeadjoint group of type \(E_ 7\)nearly simple finite groupsporadic simple group of Rudvalis

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Simple groups: sporadic groups (20D08) Subgroup theorems; subgroup growth (20E07)

Related Items (7)

Matrix generators for the Harada–Norton group ⋮ The 5-modular characters of the sporadic simple rudvalis group and its covering group^* ⋮ Chevalley groups of type \(E_7\) in the 56-dimensional representation. ⋮ Embeddings of \(\text{PSL}(2,41)\) and \(\text{PSL}(2,49)\) in \(E_8(\mathbb{C})\) ⋮ Finite simple groups which projectively embed in an exceptional Lie group are classified! ⋮ Ru< E₇(5) ⋮ Short proofs of embeddings into exceptional groups of Lie type

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