On derivable Baer-elation planes


In [5], Jha and Johnson introduce Baer-elation planes. These are finite translation planes of order q<sup>2</sup>, q=p<sup>r</sup> which admit both Baer p-collineation groups and elation groups which normalize each other.By a result of Foulser [3], p=2.Jha-Johnson consider, in particular, Baer-elation planes of order q<sup>2</sup> with kernel GF(q) 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 ≤ 2.

DOI Code: 10.1285/i15900932v7n1p19

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