# Classification of generously transitive groups

A permutation group $G \lt S_n$ is called generously transitive, if for each $i,j$ there exists a permutation that interchanges them. Is there a reasonable classification of such (finite) groups?

-
@oeter franek: The problem is that the parser interprets < as an HTML marker; use \lt for < and \gt for >. I've fixed the question. – Arturo Magidin Feb 28 '13 at 15:54