Liu, Xuemei; Fan, Qianyu; Sun, Qingfeng Research of the Erdős-Ko-Rado theorem based on symplectic spaces over finite fields. (Chinese. English summary) Zbl 1424.05281 J. Hebei Norm. Univ., Nat. Sci. Ed. 42, No. 4, 277-283 (2018). Summary: In this paper, we study the Erdős-Ko-Rado (EKR) theorem for isotropic subspaces of the symplectic space over finite fields. We obtain an upper bound for the \(r\)-intersection of isotropic subspaces of type \((m, 0)\) in the symplectic spaces by investigating monotonicity of an upper bound function. Cited in 1 Document MSC: 05D05 Extremal set theory 05B25 Combinatorial aspects of finite geometries 05E15 Combinatorial aspects of groups and algebras (MSC2010) 51A50 Polar geometry, symplectic spaces, orthogonal spaces Keywords:finite field; symplectic space; \(r\)-intersecting; EKR theorem PDFBibTeX XMLCite \textit{X. Liu} et al., J. Hebei Norm. Univ., Nat. Sci. Ed. 42, No. 4, 277--283 (2018; Zbl 1424.05281) Full Text: DOI