Journalartikel

Jahr der Veröffentlichung: 1991

Seiten: 59-62

Zeitschrift: Discrete Mathematics

Bandnummer: 97

Heftnummer: 1-3

ISSN: 0012-365X

Open Access Status: Bronze

DOI Link: https://doi.org/10.1016/0012-365X(91)90421-W

Verlag: Elsevier

Abstract: 
A t-spread in a projective space P = PG(d, q) is a set of t-dimensional subspaces which partitions the point set of P. A t-spread S is called geometric if it induces a spread in any (2t + 1)-dimensional subspace containing at least two elements of S. In this note we characterize the geometric t-spreads S among all partial spreads in the first nontrivial case PG(3t + 2, q) by the property that any subspace of dimension 3t contains at least one element of S. This is the first instance of a combinatorial characterization of geometric spreads.

Harvard-Zitierstil: BEUTELSPACHER, A. (1991) A COMBINATORIAL CHARACTERIZATION OF GEOMETRIC SPREADS, Discrete Mathematics, 97(1-3), pp. 59-62. https://doi.org/10.1016/0012-365X(91)90421-W

APA-Zitierstil: BEUTELSPACHER, A. (1991). A COMBINATORIAL CHARACTERIZATION OF GEOMETRIC SPREADS. Discrete Mathematics. 97(1-3), 59-62. https://doi.org/10.1016/0012-365X(91)90421-W