Inherited groups and kernels of derived translation planes (Q913239)

Let \(\pi\) be a finite derivable affine plane with derivable net D. The authors investigate that collineation group of the derived plane \({\bar \pi}\) which is inherited from the full collineation group of \(\pi\). They show that for any finite translation plane of order \(>16\) in which D contains at least one Baer subplane through zero which is not a K- subspace, K the kernel of \(\pi\), the inherited group is the full collineation group of \({\bar \pi}\). Some further properties of the translation complement of this group are proved.