The action of \(F_4(q)\) on cosets of \(B_4(q)\)

DOI10.1006/jabr.1998.7619zbMath0923.20010OpenAlexW2031967632MaRDI QIDQ1284099

K. Appert

Publication date: 27 October 1999

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

Full work available at URL: https://doi.org/10.1006/jabr.1998.7619

zbMATH Keywords

cosets of Borel subgroupsfinite primitive distance-transitive graphsmultiplicity free actions

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Representation theory for linear algebraic groups (20G05) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Representations of finite groups of Lie type (20C33)

Related Items (9)

Prime power graphs for groups of Lie type ⋮ Minimal supplements of maximal tori in their normalizers for the groups ⋮ Finite primitive distance-transitive graphs ⋮ Products of conjugacy classes in finite and algebraic simple groups. ⋮ The decomposition of the permutation character \(1^{\text{GL}(2n,q)}_{\text{GL}(n,q^2)}\) ⋮ On the probability of generating invariably a finite simple group ⋮ Finite groups, 2-generation and the uniform domination number ⋮ On finite groups isospectral to the simple groups \(S_4(q)\) ⋮ Recognition by spectrum for simple classical groups in characteristic 2.

Cites Work

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• Multiplicity-free and self-paired primitive permutation groups
• On the Actions of Finite Groups of Lie Type on the Cosets of Subfield Subgroups and their Twisted Analogues
• Some Coset Actions in G ₂ (q )
• Distance Transitive Graphs and Finite Simple Groups

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