A Non PGL (3,q) k-arcs in the projective plane of order 37 | ||
| Tikrit Journal of Pure Science | ||
| Article 1, Volume 19, Issue 1, April 2014, Pages 135-145 | ||
| Author | ||
| Nada Yassen Kasm Yahya | ||
| Abstract | ||
| Abstract A k-arc in the plane PG(2,q) is a set of k points such that every line in the plane intersects it in at most two points and there is a line intersects it in exactly two points. The k-arc is complete if there is no k+1 -arc containing it. The main purpose of this paper is to study and find the projectively distinct k- arcs, k=4,5,6,7 in PG(2,37) through the classification and construction of the projectively distinct k-arcs and finding the group of projectivities of each projectively distinct k-arc and describing it. Also it was found that PG(2,37) has no maximum arc . | ||
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