Hyperbolic manifolds and tessellations of type {3,5,3} associated with L_2(q)

Gareth A. Jones, Cormac D. Long, Alexander D. Mednykh

We classify the normal subgroups K of the tetrahedral group Delta=[3,5,3]^+, the even subgroup of the Coxeter group Gamma=[3,5,3], with Delta/K isomorphic to a finite simple group…