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List the elements of the subgroups in Z18. Let a be a

Chapter 4, Problem 4E

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QUESTION:

List the elements of the subgroups in Z18. Let a be a group element of order 18. List the elements of the subgroups and .

Questions & Answers

QUESTION:

List the elements of the subgroups in Z18. Let a be a group element of order 18. List the elements of the subgroups and .

ANSWER:

Step 1 of 4

Consider an element  of order  in a group. Also, consider a positive integer .

According to the theorem,

                                                           

And also we have,

                                                             

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