Homomorphism of groups question

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Homework Help Overview

The discussion revolves around the concept of homomorphisms in group theory, specifically addressing a problem related to the mapping of group elements to integers.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants explore the implications of mapping elements of a group to integers, questioning what occurs when an element is raised to a power and how this affects the mapping.

Discussion Status

Some participants have provided hints that may guide understanding, while others express concern about the removal of the original question, indicating a desire for the discussion to remain accessible for future reference.

Contextual Notes

The original question has been erased, which may limit the ability of others to learn from the discussion.

XxLegato666xX
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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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