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Solutions for Modern Algebra: An Introduction | 6th Edition | ISBN: 9780470384435 | Authors: John R. Durbin 9780470384435

Solution for problem 19.12 Chapter 19

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

Modern Algebra: An Introduction | 6th Edition


Problem 19.12

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

Accepted Solution
Step-by-Step Solution:

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.

 

Chapter 19, Problem 19.12 is Solved

Step 2 of 2

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