The structure of rank 3 permutation modules for \(O^\pm_{2n}(2)\) and \(U_m(2)\) acting on nonsingular points.

DOI10.1016/j.jalgebra.2011.02.022zbMath1239.20017arXiv0910.4759OpenAlexW1997470938MaRDI QIDQ651244

Hung Ngoc Nguyen, Jonathan I. Hall

Publication date: 8 December 2011

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

Full work available at URL: https://arxiv.org/abs/0910.4759

zbMATH Keywords

orthogonal groupsunitary 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)

Related Items

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

Cites Work

• Some generalizations of the Weil representations of the symplectic and unitary groups
• The modulo 2 structure of rank 3 permutation modules for odd characteristic symplectic groups.
• Cross characteristic projective representations for some classical groups
• Cross characteristic representations of symplectic and unitary 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
• Low-dimensional representations of special unitary groups
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