Mahima posted an Question
February 11, 2021 • 16:56 pm 30 points
  • IIT JAM
  • Mathematics (MA)

Let g be a non-abelian group such that ord(g) = pq for some prime numbers p, q then the ord(z(g)) is f all nonzero rational

Let G be a non-abelian group such that Ord(G) = pq for some prime numbers p, q then the Ord(Z(G)) is f all nonzero rational

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    Piyush pachauri

    It is 1 ,for example you can take S3 which is of order 6 =2×3

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