Mahima posted an Question
February 11, 2021 • 15:33 pm 30 points
  • IIT JAM
  • Mathematics (MA)

T g be a group of order 7 and o(x) = x, x e g. then let not one - one (a) not a homomorphism (c) (b) not onto (d) one one, onto and homomorphism

t G be a group of order 7 and o(x) = x, x e G. Then Let not one - one (A) not a homomorphism (C) (B) not onto (D) one one, onto and homomorphism

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    Piyush pachauri

    Option D is correct. As O(x) =O(x^4) =7 in group of order 7. So generator is mapped to generator

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