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The elements of finite order in an Abelian group form a subgroup ( 14.16). Showthat the

Chapter 22, Problem 22.13

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QUESTION:

The elements of finite order in an Abelian group form a subgroup ( 14.16). Showthat the subgroup of elements of finite order in lR./Z is Q/Z. (See 22.12).

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QUESTION:

The elements of finite order in an Abelian group form a subgroup ( 14.16). Showthat the subgroup of elements of finite order in lR./Z is Q/Z. (See 22.12).

ANSWER:

Step 1 of 3

Consider the elements of finite order in an Abelian group from a subgroup.

To show that the subgroup of elements of finite order in  is  

Let  be an arbitrary element of

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