Prafull Kumar Mehta posted an Question
September 17, 2020 • 04:05 am 30 points
  • IIT JAM
  • Mathematics (MA)

Q.34 which one of the following conditions on a group g implies that g is abelian? (a) the order of g 1s p tor some prime p (b) every proper subgroup of g is cy

Q.34 Which one of the following conditions on a group G implies that G is abelian? (A) The order of G 1s p tor some prime p (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) =r" for all xEG, is a homomorphism

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  • Anonymous User best-answer

    use the abelian fact prove f(x)=x^-1 is homomorphic.

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