14.59 (1999)

Suppose that $G$ is a triply transitive group in which a stabilizer of two points contains no involutions, and a stabilizer of three points is trivial. Is it true that $G$ is similar to $PGL_2(P)$ in its natural action on the projective line $P \cup \{\infty\}$, for some field $P$ of characteristic 2? This is true under the condition that the stabilizer of two points is periodic.