On Irreducible Linear Groups of Nonprimary Degree

الملخص EN

It is established that degree 2|A|+1 of irreducible complex linear group with the group A of cosimple automorphisms of odd order is a prime number and proved that if degree 2|H|+1 of π-solvable irreducible complex linear group G with a π-Hall TI-subgroup H is not a prime power, then H is Abelian and normal in G.