Rank 3 Permutation Modules of the Finite Classical Groups
نویسنده
چکیده
The cross-characteristic permutation modules for the actions of the finite classical groups on singular 1-spaces of their natural modules are studied. The composition factors and submodule lattices are determined.
منابع مشابه
ON THE PERMUTATION MODULES FOR ORTHOGONAL GROUPS O± m(3) ACTING ON NONSINGULAR POINTS OF THEIR STANDARD MODULES
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(3) with m ≥ 6 on nonsingular points of their standard modules. These actions together with those studied in [2] are all examples of primitive rank 3 actions of finite classical groups on nonsingular points.
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