Homomorphism of groups question

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The discussion revolves around the concept of homomorphism in group theory, specifically addressing the mapping of an element g to a nonzero integer m. The key insight provided is the exploration of what gn maps to and the implications of this mapping. The conversation highlights the importance of retaining original questions in forum discussions for the benefit of future learners, emphasizing the educational purpose of such platforms.

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*edit* problem solved.
 
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Here is a hint: let's say you have some element g that maps to some nonzero integer m. What does gn map to? Is there something wrong that inevitably happens?
 
Awesome that helped a lot.
 
Unfortunately, since you went back and erased the original question, others, who might have similar questions, cannot learn from this. Please do NOT erase the original questions just because you do not need them any more.
 
Why on Earth would you erase the question? The point of a forum is that you can have discussions and read/refer to them back.
 

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