IIT JAM
Divam kumar Asked a Question
September 8, 2020 9:03 ampts 30 pts
  • 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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  • Anonymous User Best Answer
    see the attachment.
    • cropped7942216053120956407.jpg
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  • Shivam jyoti thankyou
    here is your ans. any doubt than ask
    • cropped932175559.jpg
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  • Piyush
    Option B is correct. As Zn is cyclic group for every n Then all it's proper subgroups are cyclic.
    Likes(1) Reply(1)
    Piyush
    any doubt then you can ask.
  • Anonymous User
    option b is correct
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  • Vishal Soni
    hii
    Likes(0) Reply(0)
  • Aastha kudiya
    b option
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  • Pankaja das
    Option b is correct
    Likes(0) Reply(0)
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