Department of Mathematics
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Let P be a finite projective plane of order q. Recall that an oval in P is a set C of q+1 points in P such that every line in the plane P meets the set C in at most two points. Last time we mentioned some examples of the so-called strange curves i.e. ovals in planes of even order where all the tangents are concurrent! In this talk, we give a couple of examples of ovals which are singular curves and prove that ovals in Galois planes of odd order are conics.