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
.
![q<sup>2</sup>](http://siba-ese.unile.it/plugins/generic/latexRender/cache/7af7b909046a345a8acb937438fc3421.png)
![q=p<sup>r</sup>](http://siba-ese.unile.it/plugins/generic/latexRender/cache/7a9800b4339197b1d7b82b9cff2f3a51.png)
![p=2](http://siba-ese.unile.it/plugins/generic/latexRender/cache/905b566b5fb4359eb506b353ea3775f2.png)
![q<sup>2</sup>](http://siba-ese.unile.it/plugins/generic/latexRender/cache/7af7b909046a345a8acb937438fc3421.png)
![GF(q)](http://siba-ese.unile.it/plugins/generic/latexRender/cache/80331f5a2dc28b5bd99e4b8c13e6fd93.png)
![≤ 2](http://siba-ese.unile.it/plugins/generic/latexRender/cache/6ebd7c555d662c7a8302e35449a9ed9d.png)
DOI Code:
10.1285/i15900932v7n1p19
Full Text: PDF