On the permutation modules for orthogonal groups \(O^\pm_m(3)\) acting on nonsingular points of their standard modules.

DOI10.1016/j.jpaa.2011.07.011zbMath1243.20018arXiv1001.2346OpenAlexW2161674320MaRDI QIDQ418911

Jonathan I. Hall, Hung Ngoc Nguyen

Publication date: 30 May 2012

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1001.2346

zbMATH Keywords

orthogonal groupspermutation modules

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Representation theory for linear algebraic groups (20G05) Representations of finite groups of Lie type (20C33) Multiply transitive finite groups (20B20)

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Cites Work

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• The structure of rank 3 permutation modules for \(O^\pm_{2n}(2)\) and \(U_m(2)\) acting on nonsingular points.
• The representation theory of the symmetric groups
• The modulo 2 structure of rank 3 permutation modules for odd characteristic symplectic groups.
• Cross characteristic projective representations for some classical groups
• Permutation modules for rank 3 unitary groups
• Permutation modules for rank 3 symplectic and orthogonal groups
• Rank 3 permutation modules of the finite classical groups.
• Finite permutation groups of rank 3
• The Rank 3 Permutation Representations of the Finite Classical Groups

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