Let R* denote the group of all nonzero real numbers under
Chapter 9, Problem 31E(choose chapter or problem)
Let R* denote the group of all nonzero real numbers under multiplication. Let \(\mathbf{R}^+\) denote the group of positive real numbers under multiplication. Prove that R* is the internal direct product of \(\mathbf{R}^+\) and the subgroup {1, 21}.
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