Let G, H be groups and define the relation ∼= where G ∼= H if there...

Let G, H be groups and define the relation ∼= where G ∼= H if there is an isomorphism ϕ : G → H.

(i) Show that the relation ∼= is an equivalence relation on the set of all groups.

(ii) Give an example of two different groups that are related.

Expert Solution

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Colby Messinger answered 2 years ago

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