Geodesic
Primitive parabolic permutation representations of finite special linear and unitary groups
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 15 (2009) no. 2, pp. 114-124

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The ranks, degrees, subdegrees, and double stabilizers of the permutation representations of finite special linear and unitary groups on the cosets of the 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 finite special linear and unitary groups},
     journal = {Trudy Instituta matematiki i mehaniki},
     pages = {114--124},
     publisher = {mathdoc},
     volume = {15},
     number = {2},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TIMM_2009_15_2_a10/}
}
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V. V. Korableva. Primitive parabolic permutation representations of finite special linear and unitary groups. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 15 (2009) no. 2, pp. 114-124. http://geodesic.mathdoc.fr/item/TIMM_2009_15_2_a10/