On Planes of Order p2 in Which Every Quadrangle Generates a Subplane of Order p |
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| Authors: | Aart Blokhuis Péter Sziklai |
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| Institution: | (1) Technische Universiteit Eindhoven, Postbox 513, 5600 MB Eindhoven, The Netherlands;(2) Mathematical Institute of the Hungarian Academy of Sciences, POB 127, H-1364 Budapest, Hungary |
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| Abstract: | After Gleason's result, in the late fifties the following conjecture appeared: if in a finite projective plane every quadrangle is contained in a unique Desarguesian proper subplane of order p, then the plane is Desarguesian (and its order is p
d for some d). In this paper we prove the conjecture in the case when the plane is of order p
2 and p is a prime. |
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| Keywords: | Desarguesian projective planes Baer subplanes |
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