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Construct the Cayley table for Z12/([4J). (Suggestion: Use [[klJ to denote the coset to

Chapter 22, Problem 22.3

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QUESTION:

Construct the Cayley table for Z12/([4J). (Suggestion: Use [[klJ to denote the coset to which[k] belongs.)

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QUESTION:

Construct the Cayley table for Z12/([4J). (Suggestion: Use [[klJ to denote the coset to which[k] belongs.)

ANSWER:

Step 1 of 3

We know that  is the cyclic subgroup and so normal subgroup of  

So the construction of the quotient is meaningful.

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