Let F be the additive group of all functions mapping R into R, and let F *
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Let F be the additive group of all functions mapping R into R, and let F* be the multiplicative group of all elements of F that do not assume the value 0 at any point of R.
Let K* be the subgroup of F* consisting of the nonzero constant functions. Find a subgroup of F* to which F*/K* is isomorphic.
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