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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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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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Solution provided by:
Thokchom Sarojkumar Sinha, MSc
Education
  • BSc, Manipur University
  • MSc, Kanpur University
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