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    Subgroups

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    "C" means set containment (not proper set containment)
    and "T" means intersection of sets

    If H and K are subgroups of a group and |H| is prime, show that H C K or H T K = {1}

    © BrainMass Inc. brainmass.com March 4, 2021, 5:52 pm ad1c9bdddf
    https://brainmass.com/math/linear-algebra/subgroups-prime-constraints-15176

    Solution Preview

    Proof:
    Since |H| is a prime. For any subgroup S in H, we know ...

    Solution Summary

    This is a proof regarding prime subgroups.

    $2.49

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