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Let under addition. Let H = Prove that H is a subgroup of

Chapter 3, Problem 67E

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QUESTION:

Let under addition. Let H = Prove that H is a subgroup of G. What if 0 is replaced by 1?

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QUESTION:

Let under addition. Let H = Prove that H is a subgroup of G. What if 0 is replaced by 1?

ANSWER:

Step 1 of 3

Let  under addition and

To prove that H is a subgroup of G.

Clearly H is a subset of G.

Also, and . Therefore, . It implies that H is a non-empty subset of G.

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