Divam Kumar posted an Question
September 08, 2020 • 14:33 pm 30 points
  • IIT JAM
  • Mathematics (MA)

Which one of the following is true? (a) z, is cyclic if and only if n is prime. (b) every proper subgroup of z, is cyclic. (c) every proper subgroup of s, is cy

Which one of the following is True? (A) Z, is cyclic if and only if n is prime. (B) Every proper subgroup of Z, is cyclic. (C) Every proper subgroup of S, is cyclic. (D) f every proper subgroup of a group is cyclic, then the group is cyclic.

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    Piyush pachauri

    Option B is correct. As Zn is cyclic group for every n Then all it's proper subgroups are cyclic.

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    any doubt then you can ask.

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