Journal article

Publication year: 2019

Pages: 491-502

Journal: Forum Mathematicum

Volume number: 31

Issue number: 2

ISSN: 0933-7741

eISSN: 1435-5337

DOI Link: https://doi.org/10.1515/forum-2017-0039

Publisher: De Gruyter

Abstract: 
In this paper, we call a set of lines of a finite classical polar space an Erdos-Ko-Rado set of lines if no two lines of the polar space are opposite, which means that for any two lines l and h in such a set there exists a point on l that is collinear with all points of h. We classify all largest such sets provided the order of the underlying field of the polar space is not too small compared to the rank of the polar space. The motivation for studying these sets comes from [7], where a general Erdos-Ko-Rado problem was formulated for finite buildings. The presented result provides one solution in finite classical polar spaces.

Harvard Citation style: Metsch, K. (2019) An Erdos-Ko Rado result for sets of pairwise non-opposite lines in finite classical polar spaces, Forum Mathematicum, 31(2), pp. 491-502. https://doi.org/10.1515/forum-2017-0039

APA Citation style: Metsch, K. (2019). An Erdos-Ko Rado result for sets of pairwise non-opposite lines in finite classical polar spaces. Forum Mathematicum. 31(2), 491-502. https://doi.org/10.1515/forum-2017-0039