An Erdos-Ko-Rado theorem for finite classical polar spaces

作者：Metsch Klaus^*

来源：Journal of Algebraic Combinatorics, 2016, 43(2): 375-397.

DOI：10.1007/s10801-015-0637-7

• Polar space
• Erdos-Ko-Rado set
• Weighted Hoffman's bound

Consider a finite classical polar space of rank d >= 2 and an integer n with 0 < n < d. In this paper, it is proved that the set consisting of all subspaces of rank n that contain a given point is a largest Erdos-Ko-Rado set of subspaces of rank n of the polar space. We also show that there are no other Erdos-Ko-Rado sets of subspaces of rank n of the same size.

• 出版日期2016-3