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    A group of order p^2, where p is a prime number

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    Modern Algebra
    Group Theory (LXXV)
    Normal subgroup of a group
    The group of order p^2, where p is a prime number

    Prove that a group of order p^2, where p is a prime number, must have a normal subgroup of order p.

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    https://brainmass.com/math/group-theory/normal-subgroup-order-87001

    Solution Summary

    This solution is comprised of a detailed explanation to prove that a group of order p^2, where p is a prime number, must have a normal subgroup of order p.
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