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On the Fitting length of a soluble linear group

On the Fitting length of a soluble linear group

Let G be a finite soluble completely reducible linear group of degree n over a perfect field.It is shown that the Fitting length l(G) of G satisfies the inequality KG) ^3 + 21og 3 (^/2), and that this bound is best possible for infinitely many values of n.Let G be …