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arXiv · 1001.2346

On the permutation modules for orthogonal groups $O_{m}^{\pm}(3)$ acting on nonsingular points of their standard modules

Jonathan I. Hall·Hung Ngoc Nguyen
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Abstract

We describe the structure, including composition factors and submodule lattices, of cross-characteristic permutation modules for the natural actions of the orthogonal groups $O_{m}^{\pm}(3)$ with $m\geq6$ on nonsingular points of their standard modules. These actions together with those studied in \cite{HN} are all examples of primitive rank 3 actions of finite classical groups on nonsingular points.

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BibTeXRIS

Jonathan I. Hall, Hung Ngoc Nguyen. 2010-08-05. On the permutation modules for orthogonal groups $O_{m}^{\pm}(3)$ acting on nonsingular points of their standard modules. https://arxiv.org/abs/1001.2346

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