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Gill, Nick
(2006).
URL: http://www.combinatorics.org/Volume_13/PDF/v13i1r9...
Abstract
Let be a nilpotent group normal in a group
. Suppose that
acts transitively upon the points of a finite non-Desarguesian projective plane
. We prove that, if
has square order, then
must act semi-regularly on
.
In addition we prove that if a finite non-Desarguesian projective plane admits more than one nilpotent group which is regular on the points of
then
has non-square order and the automorphism group of
has odd order.