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There is a unique homomorphism e : Z6 -+ S3 such that e([I]) = (1 2 3). Determine
Chapter 21, Problem 21.18(choose chapter or problem)
QUESTION:
There is a unique homomorphism e : Z6 -+ S3 such that e([I]) = (1 2 3). Determine e([k])for each [k] E Z6. Which elements are in Ker e?
Questions & Answers
QUESTION:
There is a unique homomorphism e : Z6 -+ S3 such that e([I]) = (1 2 3). Determine e([k])for each [k] E Z6. Which elements are in Ker e?
ANSWER:Step 1 of 3
The given that unique homomorphism such that .
The group is cyclic group generated by element . Then, the Homomorphic map of cyclic group is cyclic.