Q. Mushtaq et H. Servatius, PERMUTATION REPRESENTATIONS OF THE SYMMETRY GROUPS OF REGULAR HYPERBOLIC TESSELLATIONS, Journal of the London Mathematical Society, 48, 1993, pp. 77-86
Higman has questioned which discrete hyperbolic groups [p, q] have rep
resentations onto almost all symmetric and alternating groups. We call
this property H and show that, except perhaps for finitely many value
s of p and q, [p, q] has property H.