On the Chief Factors of Parabolic Maximal Subgroups of Special Finite Simple Groups of Exceptional Lie Type
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Considering the finite simple groups F4(2 n ) and G2(p n ), where p ≤ 3, we give a description of the chief factors of a parabolic maximal subgroup involved in its unipotent radical. For every parabolic maximal subgroup of the groups F4(2 n ), G2(2 n ), and G2(3 n ), we give the fragment of its chief series that involves in the unipotent radical of this parabolic subgroup. The generators of the corresponding chief factors are presented in three tables.
Keywordsfinite group of Lie type parabolic subgroup chief factor unipotent radical
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