  Let $G$ be a finite permutation group on a finite set $\Omega$. The notion of
$G$ being quasi-transitive on $\Omega$ was defined by Alan Camina
\cite{Camina}; in that paper conditions were established that ensured a
quasi-transitive group on a finite set $\Omega$ was transitive on $\Omega$. The
aim of this paper is to validate the conjecture made in \cite{Camina}: given
any group $G$, if $G$ is quasi-transitive on a finite set $\Omega$ then $G$ is
transitive on $\Omega$.
