Abstract
Given a finite set of points Γ0 which span a projective spaceP 3, we show here that a plane spanned by points of Γ0 can be a neighbour of at most eight points of Γ0, these being the vertices of a projective cube; the common neighbour plane is then elementary with the three only points of Γ0 in it being diagonal points of the cube. This extends toP 3 some results of L. M. Kelly and W. O. J. Moser in the planeP 2.
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