Akash Babu posted an Question
July 12, 2022 • 19:51 pm 30 points
  • CSIR NET
  • Mathematical Sciences

18. let g be cyclic group of order 36. then the number of generators g have (a) 10 (b) 12 (d) 18 (c) 14

18. Let G be cyclic group of order 36. Then the number of generators G have (A) 10 (B) 12 (D) 18 (C) 14

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  • Pankaj dwivedi Best Answer

    Check the answer we know that every finite cyclic group of order n is isomorphic to (zn,+n) and zn has fi(n) number of generator Here n=36 fi(n) = fi(36)=12. Option (b) is correct.

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