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    Groups: Isomorphisms and Mappings

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    Let G be the additive group of all real numbers, and G' be the group of all positive real numbers under multiplication. Verify that the mapping theta:G'->G defined by Theta(x)=log x is an isomorphism from G' to G.

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    Since is an additive group of all real numbers and is ...

    Solution Summary

    Group Isomorphisms and Mappings are investigated. Isomorphism for mapping theta is verified.