Journalartikel

Jahr der Veröffentlichung: 1998

Seiten: 447-459

Zeitschrift: BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN

Bandnummer: 5

Heftnummer: 2-3

ISSN: 1370-1444

Open Access Status: Hybrid

DOI Link: https://doi.org/10.36045/bbms/1103409024

Verlag: BELGIAN MATHEMATICAL SOC TRIOM

Abstract: 
Let Gamma be a generalized quadrangle weakly embedded in projective space such that {a, b}(Gamma Gamma) contains a point different from a and b, where a and b are opposite points of Gamma. We prove that Gamma admits non-trivial central elations. Further, each central elation of Gamma is induced by a special linear transformation of the underlying vector space. This generalizes a result of Lefevre-Percsy [3, Th. 1]. Furthermore, we show that Gamma is a Moufang quadrangle.

Harvard-Zitierstil: Steinbach, A. (1998) Generalized quadrangles with a thick hyperbolic line weakly embedded in projective space, BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, 5(2-3), pp. 447-459. https://doi.org/10.36045/bbms/1103409024

APA-Zitierstil: Steinbach, A. (1998). Generalized quadrangles with a thick hyperbolic line weakly embedded in projective space. BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN. 5(2-3), 447-459. https://doi.org/10.36045/bbms/1103409024