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The ranks of primitive parabolic permutation representations of the simple groups B l (q), C l (q), and D l (q)

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Abstract

We determine the ranks of the permutation representations of the simple groups B l (q), C l (q), and D l (q) on the cosets of the parabolic maximal subgroups.

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Authors and Affiliations

  1. Chelyabinsk State University, Chelyabinsk, Russia

    V. V. Korableva

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  1. V. V. Korableva
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Correspondence to V. V. Korableva.

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Original Russian Text Copyright © 2008 Korableva V. V.

The author was supported by the Russian Foundation for Basic Research (Grant 04-01-00463).

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Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 49, No. 2, pp. 340–356, March–April, 2008.

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Korableva, V.V. The ranks of primitive parabolic permutation representations of the simple groups B l (q), C l (q), and D l (q). Sib Math J 49, 273–286 (2008). https://doi.org/10.1007/s11202-008-0027-7

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  • DOI: https://doi.org/10.1007/s11202-008-0027-7

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