Small rank permutation representations of finite Chevalley groups

DOI10.1016/0021-8693(74)90057-XzbMath0338.20053MaRDI QIDQ1230998

Gary M. Seitz

Publication date: 1974

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

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40)

Related Items (17)

Extraction of small rank unipotent elements in \(\operatorname{GL}(4, K)\) ⋮ Permutation representations of the finite classical groups of small degree or rank ⋮ Subgroups of finite groups of Lie type ⋮ Finite primitive groups of small rank: symmetric and sporadic groups ⋮ Overgroup lattices in finite groups of Lie type containing a parabolic. ⋮ Root groups ⋮ Subgroups of a spinor group containing a maximal split torus. I ⋮ Pseudofinite primitive permutation groups acting on one-dimensional sets ⋮ Strongly regular graphs ⋮ Minimal elements of \(\text{И}(H;p)\) and conjugacy of Levi complements in finite Chevalley groups. ⋮ Weakly closed unipotent subgroups in Chevalley groups. ⋮ Standard subgroups of type \(L_n(2^a)\) ⋮ Stable Finitely Homogeneous Structures ⋮ A proof of Szep's conjecture on nonsimplicity of certain finite groups ⋮ Parabolic subgroups of Chevalley groups over a commutative ring ⋮ Finite groups of Seitz type ⋮ Double coset Markov chains

Cites Work

• Unnamed Item
• Unnamed Item
• Flag-transitive subgroups of Chevalley groups
• Solvability of groups of odd order
• Finite groups with Abelian Sylow 2-subgroups of order 8
• The characterization of finite groups with dihedral Sylow 2-subgroups. III
• On the Steinberg characters of finite Chevalley groups
• On the connection between the ordinary and the modular characters of groups of finite order
• Sur certains groupes simples
• The 2-Transitive Permutation Representations of the Finite Chevalley Groups
• On Ree's Series of Simple Groups
• The Subgroups of PSL(3, q) for odd q
• On the Degrees and Rationality of Certain Characters of Finite Chevalley Groups
• Group Characters and Normal Hall Subgroups
• On a class of doubly transitive groups

This page was built for publication: Small rank permutation representations of finite Chevalley groups