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There is only one homomorphism from Z2 to Z3. Why

Chapter 21, Problem 21.32

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QUESTION:

There is only one homomorphism from Z2 to Z3. Why?

Questions & Answers

QUESTION:

There is only one homomorphism from Z2 to Z3. Why?

ANSWER:

Step 1 of 3

Let  be a group homomorphism. Then notice that

Also note that,  and .

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