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    Does the operation a*b = ab in Q give a group structure?

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    Modern Algebra
    Group theory

    Determine whether the following binary operation give a group structure on the given set.
    If not, give all reasons they fail and supply counter-examples.

    a*b = ab in Q.

    See the attached file.

    © BrainMass Inc. brainmass.com December 24, 2021, 5:17 pm ad1c9bdddf
    https://brainmass.com/math/basic-algebra/operation-group-structure-39429

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    SOLUTION This solution is FREE courtesy of BrainMass!

    Modern Algebra
    Group theory

    Determine whether the following binary operation give a group structure on the given set.
    If not, give all reasons they fail and supply counter-examples.

    a*b = ab in Q.

    See the attached file for the solution of the problem.

    Thanks for using BrainMass.com. Have a great day.

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

    © BrainMass Inc. brainmass.com December 24, 2021, 5:17 pm ad1c9bdddf>
    https://brainmass.com/math/basic-algebra/operation-group-structure-39429

    Attachments

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