Permutation modules for rank 3 unitary groups

DOI10.1016/0021-8693(84)90067-XzbMath0559.20026MaRDI QIDQ2266124

Martin W. Liebeck

Publication date: 1984

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

zbMATH Keywords

permutation moduleslattice of submodulesprojective special unitary groups

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Linear algebraic groups over finite fields (20G40) Ordinary representations and characters (20C15) Representations of finite symmetric groups (20C30) Representation theory for linear algebraic groups (20G05) Group rings of finite groups and their modules (group-theoretic aspects) (20C05)

Related Items (10)

Representations of finite groups ⋮ Tight sets and \(m\)-ovoids of finite polar spaces ⋮ Subgroups of classical groups that are transitive on subspaces ⋮ On the permutation modules for orthogonal groups \(O^\pm_m(3)\) acting on nonsingular points of their standard modules. ⋮ The structure of rank 3 permutation modules for \(O^\pm_{2n}(2)\) and \(U_m(2)\) acting on nonsingular points. ⋮ Permutation representations and a fragment of the decomposition matrix of symplectic and special linear groups over a finite field ⋮ Adequate subgroups and indecomposable modules ⋮ Permutation modules for rank 3 symplectic and orthogonal groups ⋮ Smith and critical groups of polar graphs ⋮ Rank 3 permutation modules of the finite classical groups.

Cites Work

• Hecke algebras and characters of parabolic type of finite groups with (B, N)-pairs
• The Modular Permutation Representations of the Known Doubly Transitive Groups

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