Journal of the Australian Mathematical Society

Research Article

On the second cohomology of GL (n, 2)

U. Dempwolffa1

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) Vxs25B5 G, &V& = 2n and V is elementary abelian, (ii) G/V xs2243 GL(n, 2), (iii) CG(V) xs2286 V. If n ≧ 6 then G splits over V.

(Received May 10 1972)


p1 Present Address: 69 Heidelberg Mat. Inst. der Universität Germany