Is the only way to show an isomorphism between groups is to just define a map which has the isomorphism properties?(adsbygoogle = window.adsbygoogle || []).push({});

So for example for a group [itex] G [/itex] with order 15 to show that [itex] G \cong C_3 \times C_5 [/itex] would I just have to define all the possible transformations to define the isomorphism?

Thanks!

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# How to show an isomorphism between groups?

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