ABSTRACT

We have noted the Suetake planes [1168], a class of translation planes of order qn and kernel GF (q), that admit two orbits of components, of lengths 2 and (qn − 1). Furthermore, by net replacement in these planes, we have noted that there is an associated class of generalized twisted field planes. Thus, it is possible to construct the Suetake planes from generalized twisted field planes by reversing the construction process. However, the form that Suetake uses to represent the spreads is not particularly compatible with the usual representation of the twisted field planes. Suetake also leaves open the question of whether his new planes are generalized Andre´ planes.