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Harsh posted an Question
August 11, 2020 • 14:00 pm 30 points
  • IIT JAM
  • Mathematics (MA)

Is it necessary that group of order p^2 is always abelian and can never be non abelian where p is prime

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    Piyush pachauri Best Answer

    PFA. Yes, It is always abellian. And if you know that theorem that center is strictly contained in Normaliser and Normaliser is strictly contained in group. and order of center divides order of group. You can solve using that also that centre of G has no choice but to be equal to order of group ,hence abellian.

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