On derivable Baer-elation planes

Abstract

In [5], Jha and Johnson introduce Baer-elation planes. These are finite translation planes of order , which admit both Baer p-collineation groups and elation groups which normalize each other.By a result of Foulser [3], .Jha-Johnson consider, in particular, Baer-elation planes of order with kernel of type (2,q) or type (q,2). That is, there is a Baer or elation group of order q.By the incompatibility results of Jha-Johnson [7], [8], the corresponding or Baer group has order .