Explore BrainMass
Share

Explore BrainMass

    1. Mathematics
    2. Linear Transformation
    3. 157534

    Groups: Isomorphisms and Mappings

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    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.

    © BrainMass Inc. brainmass.com October 9, 2019, 8:38 pm ad1c9bdddf
    https://brainmass.com/math/linear-transformation/groups-isomorphisms-mappings-157534

    Solution Preview

    Please see the attached file for the complete solution.
    Thanks for using BrainMass.

    Proof:
    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.

    $2.19

    Related BrainMass Content