Prafull kumar mehta Mehta Asked a Question
September 16, 2020 10:35 pmpts 30 pts
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 thankyou
    use the abelian fact prove f(x)=x^-1 is homomorphic.
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  • Piyush
    Option D is correct.
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  • Piyush Best Answer
    • cropped3027654676426382076.jpg
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    Any doubt then you can ask.
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