The largest Erdos-Ko-Rado sets of planes in finite projective and finite classical polar spaces
Abstract
Erdos-Ko-Rado sets of planes in a projective or polar space are non-extendable sets of planes such that every two have a non-empty intersection. In this article we classify all Erdos-Ko-Rado sets of planes that generate at least a 6-dimensional space. For general dimension (projective space) or rank (polar space) we give a classification of the ten largest types of Erdos-Ko-Rado sets of planes. For some small cases we find a better, sometimes complete, classification. © 2013 Springer Science+Business Media New York.
Publication Title
Designs, Codes, and Cryptography
Recommended Citation
De Boeck, M. (2014). The largest Erdos-Ko-Rado sets of planes in finite projective and finite classical polar spaces. Designs, Codes, and Cryptography, 72 (1), 77-117. https://doi.org/10.1007/s10623-013-9812-9
