Gotu Garg posted an Question
August 26, 2021 • 03:01 am 5 points
  • IIT JAM
  • Mathematics (MA)

If g is an infinite group what can you say about the number of elements of order 8 in the group? generalize!

if g is an infinite group what can you say about the number of elements of order 8 in the group? generalize!

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    Swapnajit das best-answer

    in any group, no of elements of order n is multiple of phi(n). so, phi(8) = 4 hence, Ans is 4K (where K=0,1,2,3....)

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