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

Authors :
Modjtaba Ghorbani
Mina Rajabi-Parsa
Source :
Electronic Journal of Graph Theory and Applications, Vol 7, Iss 1, Pp 31-42 (2019)
Publication Year :
2019
Publisher :
The Institute for Research and Community Services (LPPM) ITB, 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.

Details

ISSN :
23382287
Volume :
7
Database :
OpenAIRE
Journal :
Electronic Journal of Graph Theory and Applications
Accession number :
edsair.doi.dedup.....edf4e0862facfda2ca169345efaaa52d