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A class of rank three affine planes

✍ Scribed by Michael J. Kallaher

Publisher: Springer-Verlag
Year: 1971
Tongue: French
Weight: 433 KB
Volume: 119
Category: Article
ISSN: 0025-5874
DOI: 10.1007/bf01110945

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We obtain an infinite class of simple non-algebraic matroids of rank 3, the minors of which are vector matroids and therefore algebraic. We prove that the matroids are nonalgebraic with the aid of a theory of harmonic conjugates in full algebraic combinatorial geometries .