IIT JAM
Mahima Asked a Question
February 11, 2021 11:26 ampts 30 pts
  • 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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  • Alka gupta thankyou
    plz see attachment
    • cropped3964902554432225988.jpg
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