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In each of the following, prove that the specified subset H is not a subgroup of...

In each of the following, prove that the specified subset H is not a subgroup of the given group G: (a) G = (Z, +), H is the set of positive and negative odd integers, along with 0. (b) G = (R, +), H is the set of real numbers whose square is a rational number. (c) G = (Dn, ◦), H is the set of all reflections in G.

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