Geodesic
On the solvability and factorization of some $\pi$-solvable irreducible linear groups of primary degree. Part III
Trudy Instituta matematiki, Tome 31 (2023) no. 2, pp. 91-102 
A. A. Yadchenko. On the solvability and factorization of some $\pi$-solvable irreducible linear groups of primary degree. Part III. Trudy Instituta matematiki, Tome 31 (2023) no. 2, pp. 91-102. http://geodesic.mathdoc.fr/item/TIMB_2023_31_2_a9/
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     title = {On the solvability and factorization of some $\pi$-solvable irreducible linear groups of primary degree. {Part} {III}},
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Voir la notice de l'article provenant de la source Math-Net.Ru

The article is the third one in a series of papers, where for a set $\pi$ consisting of odd primes, finite $\pi$-solvable irreducible complex linear groups of degree $2|H|+1$ are investigated, for which Hall $\pi$-subgroups are $TI$-subgroups and are not normal in groups. The purpose of the series is to prove solvability and to determine the conditions for factorization of such groups. The proof of the theorem is continued. Further properties of the minimal counterexample to the theorem are established.

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[2] Yadchenko A. A., “O razreshimosti i faktorizatsii nekotorykh $\pi$-razreshimykh neprivodimykh lineinykh grupp primarnoi stepeni. Chast II”, Tr. In-ta matematiki, 31:1 (2023), 77–89 | MR

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[10] Yadchenko A. A., “O konechnykh $\pi$-razreshimykh lineinykh gruppakh”, Arifmeticheskoe i podgruppovoe stroenie konechnykh grupp, Nauka i tekhnika, Minsk, 1986, 181–207 | MR

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[12] Yadchenko A. A., “O faktorizatsii nekotorykh $\pi$-razreshimykh neprivodimykh lineinykh grupp”, Tr. In-ta matematiki, 27:1–2 (2019), 79–107 | MR

[13] Yadchenko A. A., “O normalnykh podgruppakh i faktorizatsii nekotorykh $\pi$-razreshimykh neprivodimykh lineinykh grupp”, Tr. In-ta matematiki, 29:1–2 (2021), 149–164 | Zbl