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

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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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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