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On some classes of linear spaces embedded in a Pappian plane

✍ Scribed by Paola De Vito; Pia Maria Lo Re

Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
579 KB
Volume
129
Category
Article
ISSN
0012-365X

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✦ Synopsis

We deal with the following problem. Let IL be a suitable finite linear space embedded in a Pappian plane $ and suppose that iL is embeddable in a finite projective plane x' of order n. It is true that a finite subplane rt of P isomorphic to A' containing iL exists?

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A remark on the uniqueness of embeddings
A remark on the uniqueness of embeddings of linear spaces into desarguesian projective planes
✍ Klaus Metsch πŸ“‚ Article πŸ“… 1995 πŸ› John Wiley and Sons 🌐 English βš– 294 KB πŸ‘ 1 views

Suppose that q 2 2 is a prime power. We show that a linear space with a( q + 1)' + ( q + 1) points, where a 1 0.763, can be embedded in at most one way in a desarguesian projective plane of order q. 0 1995 John Wiley & Sons, he. ## 1. Introduction A linear space consists of points and lines such t