International Journal of Mathematics and Mathematical Sciences
Volume 1 (1978), Issue 4, Pages 447-458
doi:10.1155/S0161171278000459
The geometry of GL(2,q) in translation planes
of even order q2
Department of Mathematics, The University of Iowa, Iowa City 52242, Iowa, USA
Received 5 August 1977; Revised 6 April 1978
Copyright © 1978 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
In this article we show the following: Let π be a translation plane of even order q2 that admits GL(2,q) as a collineation group. Then π is either Desarguesian, Hall or Ott-Schaeffer.