Geodesic
Extending arcs: an elementary proof
The electronic journal of combinatorics, Tome 12 (2005)
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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.
DOI : 10.37236/1973
Classification : 51E15, 51E21
Mots-clés : finite projective plane, arc, embedding of arcs 
@article{10_37236_1973,
     author = {T. Alderson},
     title = {Extending arcs: an elementary proof},
     journal = {The electronic journal of combinatorics},
     year = {2005},
     volume = {12},
     doi = {10.37236/1973},
     zbl = {1082.51004},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/1973/}
}
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%A T. Alderson
%T Extending arcs: an elementary proof
%J The electronic journal of combinatorics
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%R 10.37236/1973
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T. Alderson. Extending arcs: an elementary proof. The electronic journal of combinatorics, Tome 12 (2005). doi: 10.37236/1973

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