Abstract
Let $V_n(q)$ be the $n$-dimensional vector space over the finite field with $q$ elements and $K$ a selected $k$-dimensional subspace of $V_n(q)$. Let $C[n,k,t]$ denote the set of all subspaces $S$’s such that $\dim (S \cap K) \geq t$. We show that $C[n,k,t]$ has the normalized matching property, which yields that $C[n,k,t]$ has the strong Sperner property and the LYM property.
Citation
Jun Wang. Huajun Zhang. "NORMALIZED MATCHING PROPERTY OF A CLASS OF SUBSPACE LATTICES." Taiwanese J. Math. 11 (1) 43 - 50, 2007. https://doi.org/10.11650/twjm/1500404632
Information