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

The article is the fourth 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.