Translation planes of order
admitting collineation groups of order
preserving a parabolic unital
Abstract
The set of translation planes of order
that admit collineation groups of order
, where u is a prime p-primitive divisor of
, consists of exactly the Desarguesian plane, assuming that the group does not contain a translation subgroup of order a multiple of
. This applies to show that if the group preserves a parabolic unital then the plane is forced to be Desarguesian.




DOI Code:
10.1285/i15900932v26n2p105
Keywords:
Spread; Translation plane; Parabolic unital; Unital group
Classification:
51E23; 51A40
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