Journalartikel

Jahr der Veröffentlichung: 1993

Seiten: 375-381

Zeitschrift: Journal of Algebraic Combinatorics

Bandnummer: 2

Heftnummer: 4

ISSN: 0925-9899

Open Access Status: Bronze

DOI Link: https://doi.org/10.1023/A:1022471817341

Verlag: Springer

Abstract: 

Let (P, L, *) be a near polygon having s + 1 points per line, s > 1, and suppose k is a field. Let V(k) be the k-vector space with basis {v(p) \ P is-an-element-of P}. Then the subspace generated by the vectors v(l) = SIGMA(p*l), v(p), where l is-an-element-of L, has codimension at least 2 in V(k).

This observation is used in two ways. First we derive the existence of certain diagram geometries with flag transitive automorphism group, and secondly, we show that any finite near polygon with 3 points per line can be embedded in an affine GF(3)-space.

Harvard-Zitierstil: CUYPERS, H. and MEIXNER, T. (1993) SOME EXTENSIONS AND EMBEDDINGS OF NEAR POLYGONS, Journal of Algebraic Combinatorics, 2(4), pp. 375-381. https://doi.org/10.1023/A:1022471817341

APA-Zitierstil: CUYPERS, H., & MEIXNER, T. (1993). SOME EXTENSIONS AND EMBEDDINGS OF NEAR POLYGONS. Journal of Algebraic Combinatorics. 2(4), 375-381. https://doi.org/10.1023/A:1022471817341