Abstract
In this article, the question is considered whether there exist finite translation planes with arbitrarily small kernels admitting nonsolvable collineation groups. For any integerN, it is shown that there exist translation planes of dimension >N and orderq 3 admittingGL(2,q) as a collineation group.
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Jha, V., Johnson, N.L. Translation planes of large dimension admitting nonsolvable groups. J Geom 45, 87–104 (1992). https://doi.org/10.1007/BF01225768
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DOI: https://doi.org/10.1007/BF01225768