Kavish Aijaz Ansari posted an Question
December 31, 2020 • 14:38 pm 30 points
  • IIT JAM
  • Mathematics (MA)

Let g be a group and h be a cyclic group and phi be a group homomorphism from g onto h, then ophi-1(h) = g is

how phi is invertible if function is may not isomorphism?

1 Answer(s) Answer Now
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  • Anonymous User best-answer

    https://math.stackexchange.com/questions/2241104/if-phi-g-rightarrow-h-is-a-group-homomorphism-and-g-is-cyclic-prove-tha

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    But the answer has given the option C 'not abelian' by counter example which have I can't understand.

  • Anonymous User

    Option A and C is correct. it is Direct statement based question

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    Would you give me some reference?

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    yeah why not

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    See this attachment

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