can anyone help me with my abstract algebra assignment?(adsbygoogle = window.adsbygoogle || []).push({});

Let a be an fixed element of some multiplicative group G. Define the map β: Z > G from the additive inter group Z to G by β(n)=a^n.

i. Prove that the map β is a homomorphism.

ii. Prove/Disprove that the map β is an isomorphism.

thanks!

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# Homework Help: Some abstract algebra help needed.

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