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On chief factors of parabolic maximal subgroups of the group 2 E 6(q 2)

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Abstract

For a finite simple group of twisted Lie type 2 E 6, the description of chief factors of a parabolic maximal subgroup contained in its unipotent radical is refined. The results are presented as a theorem, in which, for every parabolic maximal subgroup of 2 E 6(q 2), the fragments of chief series contained in the unipotent radical of this parabolic subgroup are given. Generating elements and orders of the corresponding chief factors are presented in a table.

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Authors and Affiliations

  1. Chelyabinsk State University, ul. Brat’ev Kashirinykh 129, Chelyabinsk, 454021, Russia

    V. V. Korableva

  2. Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, ul. S. Kovalevskoi 16, Yekaterinburg, 620990, 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 © V.V. Korableva, 2014, published in Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2014, Vol. 20, No. 2.

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Korableva, V.V. On chief factors of parabolic maximal subgroups of the group 2 E 6(q 2). Proc. Steklov Inst. Math. 289 (Suppl 1), 156–163 (2015). https://doi.org/10.1134/S0081543815050144

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  • DOI: https://doi.org/10.1134/S0081543815050144

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