International Journal of Mathematics and Mathematical Sciences
Volume 9 (1986), Issue 3, Pages 617-620
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

Copyright © 1986 V. Jha and N. L. Johnson. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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.