a1 Ohio State University Department of Mathematics Columbus, Ohio 43210, U.S.A.
The purpose of this note is to prove the following result. Theorem A. Let G be a finite group with the following properties (i) V G, &V& = 2n and V is elementary abelian, (ii) G/V GL(n, 2), (iii) CG(V) V. If n ≧ 6 then G splits over V.
(Received May 10 1972)
p1 Present Address: 69 Heidelberg Mat. Inst. der Universität Germany