Primitive parabolic permutation representations for finite simple orthogonal groups in odd dimensions

V. V. Korableva

Chelyabinsk State University, Chelyabinsk, Russia

Abstract: 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.

UDC: 512.542.5

Received: 28.09.2009
Revised: 01.02.2010

 English version: Algebra and Logic, 2010, 49:5, 416–425

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