Non-trivial $t$-intersecting families for vector spaces
Combinatorics
2020-07-24 v1
Abstract
Let be an -dimensional vector space over a finite field . In this paper we describe the structure of maximal non-trivial -intersecting families of -dimensional subspaces of with large size. We also determine the non-trivial -intersecting families with maximum size. In the special case when our result gives rise to the well-known Hilton-Milner Theorem for vector spaces.
Cite
@article{arxiv.2007.11767,
title = {Non-trivial $t$-intersecting families for vector spaces},
author = {Mengyu Cao and Benjian Lv and Kaishun Wang and Sanming Zhou},
journal= {arXiv preprint arXiv:2007.11767},
year = {2020}
}
Comments
26 pages