(a) Let G and G′ be finite groups whose orders have no commonfactors. Show that the only homomorphism φ:G→G′ is the trivialone.
(b) Give an example of a nontrivial homomorphism φ for the givengroups, if an example exists. If no such homomorphism exists,explain why.
i.φ: Z16→Z7
ii.φ: S4→S5
