Modjtaba Ghorbani
Department of Mathematics, Faculty of Science, Shahid Rajaeeeacher Training University, Tehran, 16785 - 136, I. R. Iran

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On the Erdos-Ko-Rado property of finite groups of order a product of three primes Modjtaba Ghorbani; Mina Rajabi-Parsa
Electronic Journal of Graph Theory and Applications (EJGTA) Vol 7, No 1 (2019): Electronic Journal of Graph Theory and Applications
Publisher : GTA Research Group, Univ. Newcastle, Indonesian Combinatorics Society and ITB

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.5614/ejgta.2019.7.1.3

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.