This abstract algebra problem seems trivially easy. Did I overlook something?

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Homework Help Overview

The discussion revolves around an abstract algebra problem that the original poster perceives as potentially too simple, raising concerns about possibly overlooking important aspects. The focus is on verifying whether a certain mapping qualifies as a homomorphism, as indicated in the assignment.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • The original poster questions the simplicity of the problem and whether they have missed something crucial. They clarify that the assignment specifies homomorphism rather than isomorphism, prompting a reevaluation of their work. Other participants confirm the validity of the original poster's approach.

Discussion Status

The discussion is currently focused on the verification of the homomorphism. Some participants have provided confirmation of the original poster's findings, suggesting that the approach appears sound under the clarified problem statement.

Contextual Notes

jdinatale
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Homework Statement



trivially.jpg




The problem seems too easy so I suspect that I am overlooking something important. A problem this easy would be completely out of character for my professor...
 
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You've shown it's a homomorphism, but it asked you to show it's an isomorphism.
 
vela said:
You've shown it's a homomorphism, but it asked you to show it's an isomorphism.

Whoops! That's a typo. I typed the question wrong in latex. The problem on the assignment sheet says homomorphism.

So assuming that the problem is asking for a homomorphism, does it look legit?
 
Looks fine to me.
 

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