论文标题
在EKR模块属性上
On the EKR Module property
论文作者
论文摘要
近年来，ERDőS-KO-RADO（EKR）定理对排列组的概括引起了人们的关注。如果每个最大相交集的特征向量是点稳定器的特征矢量的线性组合，则据说瞬态基团可以满足EKR模块的特性。 K. Meagher介绍了对ERDőS-KO-RADO（EKR）定理的富裕置换组版本的概括。在本文中，我们介绍了满足EKR模块属性的几个无限的置换群体，该属性表明满足此属性的置换群体非常多样化。
In the recent years, the generalization of the Erdős-Ko-Rado (EKR) theorem to permutation groups has been of much interest. A transitive group is said to satisfy the EKR-module property if the characteristic vector of every maximum intersecting set is a linear combination of the characteristic vectors of cosets of stabilizers of points. This generalization of the well-know permutation group version of the Erdős-Ko-Rado (EKR) theorem, was introduced by K. Meagher. In this article, we present several infinite families of permutation groups satisfying the EKR-module property, which shows that permutation groups satisfying this property are quite diverse.
