Let H be a subgroup of a group G. Prove that the set HZ(G)

Chapter 3, Problem 75E

(choose chapter or problem)

Let H be a subgroup of a group G. Prove that the set \(H Z(G)= \{h z \mid h \in H, z \in Z(G)\}\) is a subgroup of G. This exercise is referred to in this chapter.

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