On the structure of 3-nets embedded in a projective plane

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On the structure of 3-nets embedded in a projective plane

We investigate finite 3-nets embedded in a projective plane over a (finite or infinite) field of any characteristic p. Such an embedding is regular when each of the three classes of the 3-net comprises concurrent lines, and irregular otherwise. It is completely irregular when no class of the 3-net consists of concurrent lines. We are interested in embeddings of 3-nets which are irregular but th...

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ژورنال

عنوان ژورنال: Journal of Combinatorial Theory, Series A

سال: 2011

ISSN: 0097-3165

DOI: 10.1016/j.jcta.2010.11.007