ERDOS-KO-RADO THEOREM IN SOME LINEAR GROUPS AND SOME PROJECTIVE SPECIAL LINEAR GROUP

被引：3

作者：

Ahanjideh, Milad ^{[1
]}

Ahanjideh, Neda ^{[2
]}

机构：

[1] Amirkabir Univ Technol, Tehran Polytech, Fac Math & Comp Sci, Tehran, Iran

[2] Shahrekord Univ, Dept Math, Shahrekord, Iran

来源：

STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA | 2014年 / 51卷 / 01期

关键词：

Erdos-Ko-Rado theorem; intersecting set; derangement graph; INTERSECTING FAMILIES;

D O I：

10.1556/SScMath.51.2014.1.1266

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let V be the 2-dimensional column vector space over a finite field F-q, (where q is necessarily a power of a prime number) and let P-q, be the projective line over Fq. In this paper, it is shown that GL(2)(q), for q not equal 3, and SL2(q) acting on V - {0} have the strict EKR property and GL(2)(3) has the EKR property, but it does not have the strict EKR property. Also, we show that GL(n)(q) acting on (F-q)(n) - {0} has the EKR property and the derangement graph of PSL2(q) acting on P-q, where q -1 (mod 4), has a clique of size q + 1.

引用

页码：83 / 91

页数：9

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