Geodesic
Primitive parabolic permutation representations of the groups $P\Omega^\pm_{2m}(q)$
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 16 (2010) no. 3, pp. 168-181

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The ranks, degrees, subdegrees, and double stabilizers of permutation representations of the groups $P\Omega^\pm_{2m}(q)$ on cosets of parabolic maximal subgroups are found.
Keywords: permutation representation, parabolic subgroup, classical group, isotropic subspace. 
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     author = {V. V. Korableva},
     title = {Primitive parabolic permutation representations of the groups $P\Omega^\pm_{2m}(q)$},
     journal = {Trudy Instituta matematiki i mehaniki},
     pages = {168--181},
     publisher = {mathdoc},
     volume = {16},
     number = {3},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TIMM_2010_16_3_a17/}
}
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V. V. Korableva. Primitive parabolic permutation representations of the groups $P\Omega^\pm_{2m}(q)$. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 16 (2010) no. 3, pp. 168-181. http://geodesic.mathdoc.fr/item/TIMM_2010_16_3_a17/