International Journal of Mathematics and Mathematical Sciences 
Volume 9 (1986), Issue 3, Pages 617-620
doi:10.1155/S0161171286000777
Research notes

On collineation groups of translation planes of order q4

V. Jha and N. L. Johnson

 Department of Mathematics, The University of Iowa, Iowa City 52242, IA, USA
Received 9 April 1984; Revised 31 March 1986

Abstract

Let P be an affine translation plane of order q4 admitting a nonsolvable group G in its translation complement. If G fixes more than q+1 slopes, the structure of G is determined. In particular, if G is simple then q is even and G=L2(2s) for some integer s at least 2.