Ashwini posted an Question
January 28, 2021 • 02:42 am 30 points
  • IIT JAM
  • Mathematics (MA)

For a group g, order of g/z (g) (where z(g) denotes centre) cannot be

For a group G, order of G/Z (G) (where Z(G) denotes centre) cannot be

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    Piyush pachauri best-answer

    Group of order 15 is always cyclic. If G/Z(G) is cyclic ,it implies G is abelian Which will imply G/Z(G) = {0}.

  • Anonymous User

    if u satisfied with answer then accept it as best answer

  • Anonymous User

    https://math.stackexchange.com/questions/252325/finding-the-order-of-the-quotient-group-g-zg

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