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  3. (a) let g and g′ be finite groups whose orde

(a) Let G and G′ be finite groups whose orders have no common factors. Show that...

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Advance Math

(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

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