arXiv
Open Access
2022
On the EKR Module property
Cai Heng Li
Venkata Raghu Tej
Abstrak
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.
Topik & Kata Kunci
Penulis (2)
C
Cai Heng Li
V
Venkata Raghu Tej
Akses Cepat
Informasi Jurnal
- Tahun Terbit
- 2022
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- en
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- arXiv
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- Open Access ✓