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On the chief factors of parabolic maximal subgroups in finite simple groups of normal Lie type

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Abstract

For every finite group of normal Lie type, we specify the description of the chief factors of a parabolic maximal subgroup occurring in the unipotent radical. For every module, we determine the highest weight and dimension. The results are presented in the tables where these parameters are given.

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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.

Additional information

Original Russian Text Copyright © 2014 Korableva V.V.

The author was supported by the Russian Foundation for Basic Research (Grant 13-01-00469) and the Laboratory of Quantum Topology of Chelyabinsk State University (Grant 14.Z50.31.0020 of the Government of the Russian Federation).

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Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 55, No. 4, pp. 764–782, July–August, 2014.

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Korableva, V.V. On the chief factors of parabolic maximal subgroups in finite simple groups of normal Lie type. Sib Math J 55, 622–638 (2014). https://doi.org/10.1134/S0037446614040053

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  • DOI: https://doi.org/10.1134/S0037446614040053

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