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Algebra i logika, 2010, Volume 49, Number 5, Pages 615–629 (Mi al457)  
Primitive parabolic permutation representations for finite simple orthogonal groups in odd dimensions

V. V. Korableva

Chelyabinsk State University, Chelyabinsk, Russia
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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.
Received: 28.09.2009
Revised: 01.02.2010
English version:
Algebra and Logic, 2010, Volume 49, Issue 5, Pages 416–425
DOI: https://doi.org/10.1007/s10469-010-9106-5
Bibliographic databases:
Document Type: Article
UDC: 512.542.5
Language: Russian
Citation: V. V. Korableva, “Primitive parabolic permutation representations for finite simple orthogonal groups in odd dimensions”, Algebra Logika, 49:5 (2010), 615–629; Algebra and Logic, 49:5 (2010), 416–425
Citation in format AMSBIB
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