On the Erdos-Ko-Rado property of finite groups of order a product of three primes

Modjtaba Ghorbani, Mina Rajabi-Parsa

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.


Keywords


Cayley graph, permutation groups, EKR property

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DOI: http://dx.doi.org/10.5614/ejgta.2019.7.1.3

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ISSN: 2338-2287

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