IIT JAM
Ankur Rao Asked a Question
December 3, 2020 11:59 ampts 30 pts
  • IIT JAM
  • Mathematics (MA)

20. suppose that g is an abelian group of order 35 and every element of g satisfies the equation x = e. prove that g is cyclic. does your argument work if 35 is

20. Suppose that G is an Abelian group of order 35 and every element of G satisfies the equation x = e. Prove that G is cyclic. Does your argument work if 35 is replaced with 33? ont ofC
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  • Deepak singh Best Answer
    If (∀g∈G): x^35=e , then the order of every element of G is 1, 5, 7 or 35. The goal is to prove that some element of G has order 35. Suppose that every element other than e has o...
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