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Is there a noncyclic group of order 39 Why 19.17 may help

Chapter 19, Problem 19.12

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QUESTION:

Is there a noncyclic group of order 39? Why? 19.17 may help

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QUESTION:

Is there a noncyclic group of order 39? Why? 19.17 may help

ANSWER:

Step 1 of 2

Consider the group of order 39.

There is only one Abelian group of order 39, and it is cyclic.

 is a cyclic group of order  then .

It can be written as follows.

 

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