Prafull Kumar Mehta posted an Question
September 14, 2020 • 18:26 pm 30 points
  • IIT JAM
  • Mathematics (MA)

Which one of the following conditions on a group g implies that g is abelian? (a) the order of g is p for some primep (b) every proper subgroup of g is cyclic (

Which one of the following conditions on a group G implies that G is abelian? (A) The order of G is p for some primep (B) Every proper subgroup of G is cyclic (C)Every subgroup of G is normal in G D)The function f:G-G, defined by f)=x for all xe G, is a homomorphism

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  • Anonymous User best-answer

    Use the fact of abelian group ,then after you can prove homomorphic.

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