Geodesic
Primitive parabolic permutation representations for finite simple orthogonal groups in odd dimensions
Algebra i logika, Tome 49 (2010) no. 5, pp. 615-629

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Ranks, degrees, subdegrees, and double stabilizers of permutation representations for finite simple orthogonal groups in odd dimensions are defined on cosets with respect to maximal parabolic subgroups.
Keywords: permutation representation, parabolic subgroup, finite simple group, classical group, isotropic subspace. 
@article{AL_2010_49_5_a2,
     author = {V. V. Korableva},
     title = {Primitive parabolic permutation representations for finite simple orthogonal groups in odd dimensions},
     journal = {Algebra i logika},
     pages = {615--629},
     publisher = {mathdoc},
     volume = {49},
     number = {5},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2010_49_5_a2/}
}
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V. V. Korableva. Primitive parabolic permutation representations for finite simple orthogonal groups in odd dimensions. Algebra i logika, Tome 49 (2010) no. 5, pp. 615-629. http://geodesic.mathdoc.fr/item/AL_2010_49_5_a2/