The Erdos-Ko-Rado theorem for transitive groups

 A set of permutations $mathcal{F}$ of a finite transitive group $Gleq sym(Omega)$ is emph{intersecting} if any two permutations in $mathcal{F}$ agree on an element of $Omega$. The transitive group $G$ is said to have the emph{ErdH{o}s-Ko-Rado (EKR) property} if any intersecting set of $G$ has size at most $frac{|G|}{|Omega|}$.

    The alternating group $Alt(4)$ acting on the six $2$-subsets of ${1,2,3,4}$ is an example of groups without the EKR property. Hence, transitive groups need not have the EKR property.    Given a transitive group $Gleq sym(Omega)$, we are interested in finding the size and structure of the largest intersecting sets in $G$. In this talk, we will give an overview of the EKR-theory for transitive groups and present some recent development in this area.

Join Zoom meeting here: 

https://upr-si.zoom.us/j/86104965231?pwd=SFZoMWFpbTN4SmtCMXc1OVVQQmVEQT09

We are looking forward to meeting at the video conference. 

See you there!