Geodesic
Linear groups generated by transvections
Izvestiya. Mathematics , Tome 10 (1976) no. 1, pp. 25-46

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In this paper we classify the irreducible linear groups generated by transvections over a finite field of characteristic $p\geqslant3$ Bibliography: 12 titles. 
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     title = {Linear groups generated by transvections},
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A. E. Zalesskii; V. N. Serezhkin. Linear groups generated by transvections. Izvestiya. Mathematics , Tome 10 (1976) no. 1, pp. 25-46. http://geodesic.mathdoc.fr/item/IM2_1976_10_1_a1/