Extending Arcs: An Elementary Proof

T. Alderson

Abstract


In a finite projective plane $\pi$ we consider two configuration conditions involving arcs in $\pi$ and show via combinatorial means that they are equivalent. When the conditions hold we are able to obtain embeddability results for arcs, all proofs being elementary. In particular, when $\pi=PG(2,q)$ with $q$ even we provide short proofs of some well known embeddability results.


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