Hilton-Milner results in projective and affine spaces

被引：1

作者：

D'haeseleer, Jozefien ^{[1
]}

机构：

[1] Univ Ghent, Dept Math Anal Log & Discrete Math, Krijgslaan 281,Bldg S8, B-9000 Ghent, Flanders, Belgium

来源：

ADVANCES IN GEOMETRY | 2023年 / 23卷 / 01期

关键词：

t-intersecting family; projective space; affine space; Erdos-Ko-Rado set; Hilton-Milner set; KO-RADO THEOREM; INTERSECTION-THEOREMS; ERDOS; SYSTEMS;

D O I：

10.1515/advgeom-2022-0028

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, we analyse maximal sets of k-spaces, in PG(n, q) and AG(n, q) with n & GE; 2k + t + 3, that pairwise meet in at least a t-space. It is known that for both PG(n, q) and AG(n, q), the largest example is a t-pencil, i.e. the set of all k-spaces containing a fixed t-space. In this paper, we analyse the structure of the second largest maximal example in both PG(n, q) and AG(n, q).

引用

页码：1 / 24

页数：24

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