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JOURNALS // Proceedings of the Institute of Mathematics of the NAS of Belarus // Archive

Tr. Inst. Mat., 2023 Volume 31, Number 2, Pages 91–102 (Mi timb376)

On the solvability and factorization of some $\pi$-solvable irreducible linear groups of primary degree. Part III

A. A. Yadchenko

Institute of Mathematics of the National Academy of Sciences of Belarus, Minsk

Abstract: 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.

UDC: 512.542

Received: 23.11.2023



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