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JOURNALS // Trudy Instituta Matematiki i Mekhaniki UrO RAN // Archive

Trudy Inst. Mat. i Mekh. UrO RAN, 2010 Volume 16, Number 3, Pages 168–181 (Mi timm588)

Primitive parabolic permutation representations of the groups $P\Omega^\pm_{2m}(q)$

V. V. Korableva

Chelyabinsk State University

Abstract: 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.

UDC: 512.542.5

Received: 12.04.2010



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