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Find necessary and sufficient conditions on a subset S of a group G for S = (S)

Chapter 15, Problem 15.15

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QUESTION:

Find necessary and sufficient conditions on a subset S of a group G for S = (S).

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QUESTION:

Find necessary and sufficient conditions on a subset S of a group G for S = (S).

ANSWER:

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For a group  and a subset    of  the necessary and sufficient condition that  is     to be a subgroup of

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