THE STRUCTURE OF RANK 3 PERMUTATION MODULES FOR O± 2n(2) AND Um(2) ACTING ON NONSINGULAR POINTS
نویسندگان
چکیده
We study the odd-characteristic structure of permutation modules for the rank 3 natural actions of O± 2n(2) (n ≥ 3) and Um(2) (m ≥ 4) on nonsingular points of their standard modules.
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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