Question: From Dummit and Foote Section 2: Let G be a group. 1. In each of (a) - (e) prove that the specified subset is a

From Dummit and Foote Section 2:

Let G be a group. 1. In each of (a) - (e) prove that the specified subset is a subgroup of the given group: (a) the set of complex numbers of the form a + ai, a E R (under addition) (d) for fixed n E Z+ the set of rational numbers whose denominators are relatively prime to n (under addition)

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