Let Rx denote the group of nonzero real numbers under multiplication and let R+ denote the...

Let R^x denote the group of nonzero real numbers under multiplication and let R⁺ denote the group of positive real numbers under multiplication. Let H be the subgroup {1, −1} of R^x. Prove that R^x ≈ R⁺ ⊕ H.

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Colby Messinger answered 1 year ago

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