Explore BrainMass
Share

Explore BrainMass

    Intersection of a Subgroup and the Normal Subgroup of a Group

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

    Please address the following question: If H is a subgroup of G and N is a normal subgroup of G, show that H intersection N is a normal subgroup of H.

    © BrainMass Inc. brainmass.com October 9, 2019, 5:40 pm ad1c9bdddf
    https://brainmass.com/math/basic-algebra/intersection-subgroup-normal-subgroup-group-64041

    Solution Preview

    The solution of the posting is in the attached file.

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

    Modern Algebra
    Group Theory (XXXIX)
    Subgroups of a Group
    Normal Subgroups of a Group

    If is a subgroup of and is ...

    Solution Summary

    In this response it is shown that if H is a subgroup of G and N is a normal subgroup of G, that H intersection N is a normal subgroup of H. The solution is detailed and well presented in an attached Word document.

    $2.19