On the factorization of some $\pi$-solvable irreducible linear groups
Trudy Instituta matematiki, Tome 27 (2019) no. 1, pp. 79-107

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For finite $\pi$-solvable absolutely irreducible linear group of degree $n2|H|$ over a field of zero characteristic with a $\pi$-Hall $TI$-subgroup $H$ of a odd order that is not normal, the existence of certain factorizations is proved.
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     title = {On the factorization of some $\pi$-solvable irreducible linear groups},
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A. A. Yadchenko. On the factorization of some $\pi$-solvable irreducible linear groups. Trudy Instituta matematiki, Tome 27 (2019) no. 1, pp. 79-107. http://geodesic.mathdoc.fr/item/TIMB_2019_27_1_a8/