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

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

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.