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Vijay posted an Question
June 27, 2022 • 20:22 pm 30 points
  • CSIR NET
  • Mathematical Sciences

Q.72 let g be a group of order 121, then (2) gis cyclic 4) none of these (1) gis non-abelian 3) center of g has order 121

Q.72 Let G be a group of order 121, then (2) Gis cyclic 4) None of these (1) Gis non-abelian 3) Center of G has order 121

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    Navdeep goyal 1 Best Answer

    o(G)=(11)² G is abellian We know that every cyclic group is abellian but converse not true So G is not cyclic If G is abellian then G=Z So o(Z)=121

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