Abstract:In 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 wellknown permutation group version of the Erdős-Ko-Rado (EKR) theorem was introduced by K. Meagher in [28]. In this article, we present several infinite… Show more
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