Abstract
For the finite simple groups of twisted Lie types 2 A l and 2 D l , we specify the description for the chief factors of a maximal parabolic subgroup which are involved in its unipotent radical. We prove a theorem in which, for every maximal parabolic subgroup of the groups 2 A l (q 2) and 2 D l (q 2), we give the fragments of the chief series involving in the unipotent radical of this parabolic subgroup. The generators of the corresponding chief factors are presented in tables.
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Original Russian Text Copyright © 2015 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).
Chelyabinsk; Ekaterinburg. Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 56, No. 5, pp. 1100–1110, September–October, 2015; DOI: 10.17377/smzh.2015.56.510.
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Korableva, V.V. On the chief factors of maximal parabolic subgroups of twisted classical groups. Sib Math J 56, 879–887 (2015). https://doi.org/10.1134/S0037446615050109
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DOI: https://doi.org/10.1134/S0037446615050109