Journal article

Publication year: 1991

Pages: 59-62

Journal: Discrete Mathematics

Volume number: 97

Issue number: 1-3

ISSN: 0012-365X

Open access status: Bronze

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

Publisher: 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 Citation style: 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 Citation style: 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