The rank 3 permutation representations of finite groups of type \(G_ 2\)

DOI10.1016/0021-8693(83)90145-XzbMath0534.20002MaRDI QIDQ790237

Shengming Shi

Publication date: 1983

Published in: Journal of Algebra (Search for Journal in Brave)

zbMATH Keywords

finite groups of Lie typecomplex charactersinequivalent representationsfaithful primitive permutation representation of rank 3

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Simple groups: alternating groups and groups of Lie type (20D06)

Related Items

Representations of finite groups, Rank three permutation groups with rank three subconstituents

Cites Work

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• Groups which have a faithful representation of degree less than \((p-1)/2\)
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• Solvable half-transitive automorphism groups
• The degrees of the irreducible components of simply transitive permutation groups
• Automorphisms of Finite Linear Groups
• A Family of Simple Groups Associated with the Simple Lie Algebra of Type (G 2 )
• The 2-Transitive Permutation Representations of the Finite Chevalley Groups
• Groups Which Have a Faithful Representation of Degree Less Than p - 1
• On finite linear groups