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
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.
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.