Electronic Journal of Graph Theory and Applications (EJGTA)Vol 7, No 1 (2019): Electronic Journal of Graph Theory and Applications
On the Erdos-Ko-Rado property of finite groups of order a product of three primes
Modjtaba Ghorbani(Department of Mathematics, Faculty of Science, Shahid Rajaeeeacher Training University, Tehran, 16785 - 136, I. R. Iran) Mina Rajabi-Parsa(Department of Mathematics, Faculty of Science, Shahid Rajaeeeacher Training University, Tehran, 16785 - 136, I. R. Iran)
Article Info
Publish Date 05 Apr 2019
Abstract
Let G be a subgroup of the symmetric group Sn. Then G has the Erdos-Ko-Rado (EKR) property, if the size of any intersecting subset of G is bounded above by the size of a point stabilizer of G. The aim of this paper is to investigate the EKR and the strict EKR properties of the groups of order pqr, where p, q, r are three prime numbers.
The Electronic Journal of Graph Theory and Applications (EJGTA) is a refereed journal devoted to all areas of modern graph theory together with applications to other fields of mathematics, computer science and other sciences. The journal is published by the Indonesian Combinatorial Society ...