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Determine the order of (Z12 x Z4)/[3], [2])). Explain the difference between this

Chapter 22, Problem 22.10

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QUESTION:

Determine the order of (Z12 x Z4)/[3], [2])). Explain the difference between this quotientgroup and the one in Example 22.3.

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QUESTION:

Determine the order of (Z12 x Z4)/[3], [2])). Explain the difference between this quotientgroup and the one in Example 22.3.

ANSWER:

Step 1 of 2

Consider  for and

To determine the order of  that is

The factor  is subgroups of

So,

Because G is abelian,

And

         

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