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On projective embeddings of partial planes and rank-three matroids

✍ Scribed by Franz Kalhoff

Publisher: Elsevier Science
Year: 1997
Tongue: English
Weight: 543 KB
Volume: 163
Category: Article
ISSN: 0012-365X
DOI: 10.1016/0012-365x(95)00310-s

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✦ Synopsis

Any finite partial plane J, and thus any finite linear spa~e and any (simple) rank-three matroid, can be embedded into a translation plane. It even turns out, that o¢ is embeddable into a projective plane of Lenz class V, and that the characteristic of this plane can be chosen arbitrarily. In particular, any rank three matroid is realizable over a (not necessarily associative) division algebra.

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