Primitive parabolic permutation representations for finite symplectic groups

V. V. Korableva

Algebra i logika, Tome 49 (2010) no. 3, pp. 366-378.

Résumé

Ranks, degrees, subdegrees, and double stabilizers of permutation representations for finite symplectic groups are defined on cosets with respect to maximal parabolic subgroups.

Détail

Keywords: permutation representation, parabolic subgroup, classical group, isotropic subspace.

Bibliographie

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[3] V. V. Korableva, “Parabolicheskie podstanovochnye predstavleniya grupp $E6(q)$ i $E7(q)$”, Kombinatornye i vychislitelnye metody v matematike, OmGU, Omsk, 1999, 160–189

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[8] V. V. Korableva, “Primitivnye parabolicheskie podstanovochnye predstavleniya prostykh grupp $A_l(q)$”, Tr. In-ta matem. mekh. UrO RAN, 14, no. 4, 2008, 70–81

[9] V. V. Korableva, “Primitivnye parabolicheskie podstanovochnye predstavleniya konechnykh spetsialnykh lineinykh i unitarnykh grupp”, Tr. In-ta matem. mekh. UrO RAN, 15, no. 2, 2009, 114–124

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