Literature cited
A. Borel and J. Tits, "Unipotent elements and parabolic subgroups of reductive groups," Matematika, Collection of Translations,16, No. 3, 3–12 (1972).
N. Bourbaki, Lie Groups and Lie Algebras [Russian translation], Chaps. IV-VI, Mir, Moscow (1975).
H. S. M. Coxeter and W. O. J. Moser, Generators and Relations for Discrete Groups [Russian translation], Nauka, Moscow (1980).
Kourovka Notebook [in Russian], 10th ed., Novosibirsk (1986).
V. M. Levchuk, "On a theorem of L. Dickson," Algebra Logika,22, No. 4, 421–434 (1983).
Ya. N. Nuzhin, "Groups included between groups of Lie type over various fields," Algebra Logika,22, No. 5, 526–541 (1983).
Ya. N. Nuzhin, "On the structure of groups of Lie type of rank 1," Mat. Zametki,36, No. 2, 149–158 (1984).
Ya. N. Nuzhin, "Generating sets of elements of Chevalley groups over a finite field," Algebra Logika,28, No. 6, 670–686 (1989).
M. Aschbacher and G. Seitz, "Involutions in Chevalley groups over a fields of even order," Nagoya Math. J.,63, No. 1, 1–91 (1976); corrections, Nagoya Math. J.,72, No. 1, 135–136 (1978).
D. Bloom, "The subgroups of PSL(3, q) for odd q," Trans. Am. Math. Soc.,127, No. 1, 150–178 (1967).
R. W. Carter, Simple Groups of Lie Type, Wiley, London (1972).
K. H. Dar, "Maximal subgroups of the Tits simple groups," J. Nat. Sci. Math.,19, No. 1, 45–55 (1979).
B. M. Gillio and B. Tamburini, "Some classes of groups generated by three involutions," Rend. Sci. Appl.,A116, 191–209 (1985).
B. Mwene, "On the subgroups of the group PSL4 (2m)," J. Algebra,41, 79–107 (1976).
R. Steinberg, "Generators for simple groups," Can. J. Math.,14, No. 2, 277–283 (1962).
K. B. Tchakerian, "The maximal subgroups of the Tits simple groups," C. R. Acad. Bulg. Sci.,34, No. 1, 1637 (1981).
Additional information
Translated from Algebra i Logika, Vol. 29, No. 2, pp. 192–206, March–April, 1990.
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Nuzhin, Y.N. Generating triples of involutions of chevalley groups over a finite field of characteristic 2. Algebra and Logic 29, 134–143 (1990). https://doi.org/10.1007/BF02001358
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DOI: https://doi.org/10.1007/BF02001358