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List all the elements of order 8 in Z8000000. How do you

Chapter 4, Problem 29E

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QUESTION:

List all the elements of order 8 in Z8000000. How do you know your list is complete? Let a be a group element such that |a| = 8000000. List all elements of order 8 in . How do you know your list is complete?

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QUESTION:

List all the elements of order 8 in Z8000000. How do you know your list is complete? Let a be a group element such that |a| = 8000000. List all elements of order 8 in . How do you know your list is complete?

ANSWER:

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The elements of order 8 in Z8000000 are 1, 80000001, 160000001, 240000001, 320000001, 400000001, 480000001, and 560000001.

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