Abstract
A class of translation planes of orderq 2 with kernG F (q) defined by Kantor [10] and closely related to he Betten and Walker planes is studied. These planes are characterized by admitting a collineation groupG of orderq 2 in the linear translation complement such that the elation subgroup ofG leaves a regulus invariant. It is shown that except for one of the Walker planes of order 25, the full collineation group normalizesG and if the collineation group is sufficiently large then the plane is Walker or Betten.
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