Flokki planes and cubic polynomials
Abstract
Non-Desarguesian translation planes of order 
are constructed whenever 
and 
isnot divisible by 
. Each plane has kernel 
andtranslation complement of order 
, with orbits of lengths
and 
on the translation line. The planes have elation groups oforder that producederivable nets, but are not flock planes, semifield planes, orlifted planes.
The same algebraic tools are used to construct non-Desarguesiantranslation planes of order
for every prime 
.
are constructed whenever and isnot divisible by . Each plane has kernel andtranslation complement of order , with orbits of lengths and on the translation line. The planes have elation groups oforder that producederivable nets, but are not flock planes, semifield planes, orlifted planes.The same algebraic tools are used to construct non-Desarguesiantranslation planes of order
for every prime .DOI Code:
10.1285/i15900932v29n1supplp211
Keywords:
translation planes
translation planes
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