Abstract:
In the present paper, the properties of orders of coprime automorphisms of irreducible linear groups are established and sufficient conditions for the existence of a normal Hall $\pi$-subgroup in a given $\pi$-separable irreducible complex linear group are obtained.
Keywords:finite group, irreducible linear group, coprime automorphism, normal Hall subgroup, irreducible character, Sylow group, Frobenius group.
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