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Verify each of the following equalities for subgroups of 2': (-20,8) = (4)

Chapter 15, Problem 15.1

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QUESTION:

Verify each of the following equalities for subgroups of 2': (-20,8) = (4)

Questions & Answers

QUESTION:

Verify each of the following equalities for subgroups of 2': (-20,8) = (4)

ANSWER:

Step 1 of 2

Consider the given subgroups,

                                                             

The group of integers contains,

                                                         

Therefore,

 must contain all multiple of 4.

 

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