Intersections of matrix algebras and permutation representation of \(\text{PSL}(n,q)\)

DOI10.1006/jabr.1999.8201zbMath0957.20013OpenAlexW2072310470MaRDI QIDQ1975918

Johannes Siemons, Alexander E. Zalesskij

Publication date: 16 January 2001

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

Full work available at URL: https://doi.org/10.1006/jabr.1999.8201

zbMATH Keywords

matrix algebraspermutation representationsregular modulespermutation modulesregular orbitsactionsprojective special linear groups

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Representation theory for linear algebraic groups (20G05) Modular representations and characters (20C20) Representations of finite groups of Lie type (20C33)

Related Items (8)

On orders of automorphisms of vertex-transitive graphs ⋮ Finite primitive permutation groups and regular cycles of their elements. ⋮ Intersections of two nilpotent subgroups in finite groups with socle \(L_2(q)\) ⋮ Base sizes of primitive groups: bounds with explicit constants ⋮ Finite primitive groups and regular orbits of group elements ⋮ On Regular Orbits of Elements of Classical Groups in Their Permutation Representations ⋮ Bases of primitive linear groups. ⋮ Regular orbits of cyclic subgroups in permutation representations of certain simple groups

Cites Work

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• On the number of orbits of a group in two permutation actions
• Transitive linear groups and linear groups which contain irreducible subgroups of prime order
• Regular orbits of linear groups
• On the connection between the ordinary and the modular characters of groups of finite order
• Invariant Submodules of Simple Rings
• Minimal Degrees of Primitive Permutation Groups, with an Application to Monodromy Groups of Covers of Riemann Surfaces
• The Affine Permutation Groups of Rank Three

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