Polyhedral products, flag complexes and monodromy representations

This article presents a machinery based on polyhedral products that produces faithful representations of graph products of finite groups and direct products of finite groups into automorphisms of free groups Aut(Fn) and outer automorphisms of free groups Out(Fn), respectively, as well as faithful representations of products of finite groups into the linear groups SL(n,Z) and GL(n,Z). These faithful representations are realized as monodromy representations.