The modulo 2 structure of rank 3 permutation modules for odd characteristic symplectic groups.

DOI10.1016/S0021-8693(03)00229-1zbMath1045.20010MaRDI QIDQ1415348

J. M. Lataille, Peter K. W. Sin, Pham Hũ'u Tiêp

Publication date: 3 December 2003

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

zbMATH Keywords

symplectic groupssubmodule latticesrank 3 permutation modules

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Representation theory for linear algebraic groups (20G05) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Representations of finite groups of Lie type (20C33)

Related Items (8)

Brauer's height zero conjecture for the 2-blocks of maximal defect ⋮ Cross characteristic representations of even characteristic symplectic groups ⋮ On the permutation modules for orthogonal groups \(O^\pm_m(3)\) acting on nonsingular points of their standard modules. ⋮ The elementary divisors of incidence matrices between certain subspaces of a finite symplectic space. ⋮ The structure of rank 3 permutation modules for \(O^\pm_{2n}(2)\) and \(U_m(2)\) acting on nonsingular points. ⋮ Smith and critical groups of polar graphs ⋮ Rank 3 permutation modules of the finite classical groups. ⋮ Cross characteristic representations of symplectic and unitary groups

Cites Work

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• Notes on binary codes related to the \(\mathrm{O}(5,q)\) generalized quadrangle for odd \(q\)
• The 2-decomposition numbers of Sp(4,q), q odd
• Über die Reduktion von Permutationsmoduln
• Cross characteristic representations of symplectic and unitary groups
• Permutation modules for rank 3 symplectic and orthogonal groups
• On the structure of generalized quadrangles
• Finite permutation groups of rank 3

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