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What is the order of the element in the factor group

Chapter 9, Problem 14E

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QUESTION:

What is the order of the element \(14+ \langle 8 \rangle\) in the factor group \(Z_{24}/ \langle 8 \rangle\)?

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QUESTION:

What is the order of the element \(14+ \langle 8 \rangle\) in the factor group \(Z_{24}/ \langle 8 \rangle\)?

ANSWER:

Step 1 of 2

has order 3 in , so is cyclic of order 8, generated by

Now .

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