Vol. 44, No. 2, 1973

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On the Fitting length of a soluble linear group

Trevor Ongley Hawkes

Vol. 44 (1973), No. 2, 537–540
Abstract

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

l(G ) ≦ 3 + 2log3(n∕2),

and that this bound is best possible for infinitely many values of n.

Mathematical Subject Classification 2000
Primary: 20D10
Milestones
Published: 1 February 1973
Authors
Trevor Ongley Hawkes