Geodesic
On the normal subgroups and the factorization of some$\pi$-solvable irreducible linear groups
Trudy Instituta matematiki, Tome 29 (2021) no. 1, pp. 149-164.

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For finite $\pi$-solvable absolutely irreducible linear group of degree $n=2|H|$ 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 normal subgroups and factorizations is proved. 
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A. A. Yadchenko. On the normal subgroups and the factorization of some$\pi$-solvable irreducible linear groups. Trudy Instituta matematiki, Tome 29 (2021) no. 1, pp. 149-164. http://geodesic.mathdoc.fr/item/TIMB_2021_29_1_a13/

[1] Yadchenko A. A., “O $\Pi$-razreshimykh neprivodimykh lineinykh gruppakh s khollovoi $TI -$podgruppoi nechetnogo poryadka I”, Trudy Instituta matematiki NAN Belarusi, 16:2 (2008), 118–130 | Zbl

[2] Yadchenko A. A., “O $\Pi$-razreshimykh neprivodimykh lineinykh gruppakh s khollovoi $TI -$podgruppoi nechetnogo poryadka II”, Trudy Instituta matematiki NAN Belarusi, 17:2 (2009), 94–104 | Zbl

[3] Yadchenko A. A., “O $\Pi$-razreshimykh neprivodimykh lineinykh gruppakh s khollovoi $TI -$podgruppoi nechetnogo poryadka III”, Trudy Instituta matematiki NAN Belarusi, 18:2 (2010), 99–114 | Zbl

[4] Yadchenko A. A., “O faktorizatsii nekotorykh $\Pi$-razreshimykh neprivodimykh lineinykh grupp”, Trudy Instituta matematiki NAN Belarusi, 27:1 (2019), 79–107 | MR

[5] Gorenstein D., Finite groups, Harper and Row, New York, 1968 | MR | Zbl

[6] Isaacs I.M., Character theory of finite groups, Academic Press, New York, 1976 | MR | Zbl

[7] Yadchenko A.A., “K probleme Aizeksa”, Matem. sbornik, 204:12 (2013), 147–156 | DOI | Zbl

[8] Chunikhin S. A., Podgruppy konechnykh grupp, Nauka i tekhnika, Minsk, 1964 | MR

[9] Starostin A. I., “O gruppakh Frobeniusa”, Ukr. mat. zhurnal, 23:3 (1971), 629–639 | MR | Zbl

[10] Srep J., Zappa G., “Sui gruppi trifattorizzabili”, Nota I. Atti Acad. naz. Lincei, 45:3-4 (1968), 113–116 | MR

[11] Yadchenko A. A., “Avtomorfizmy i normalnye podgruppy lineinykh grupp”, Matem. zametki, 82:3 (2007), 469–476 | DOI | MR | Zbl