Karthik M posted an Question
July 02, 2022 • 11:48 am 30 points
  • IIT JAM
  • Mathematics (MA)

Homomorphism from a simple group

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    Navdeep goyal 1

    Let G be a simple group and f:G→G′ is homomorphism. So the Kernal f is a normal subgroup of G. But only normal subgroups of G are G and {e}. ∴ Either ker f = G or ker f = {e} ⇒ either f is trivial or f is one - one

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