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  3. let g be a group of order mn where gcd(m,n)=1 let

Let G be a group of order mn where gcd(m,n)=1 Let a and b be elements...

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Advance Math

Let G be a group of order mn where gcd(m,n)=1

Let a and b be elements in G such that o(a)=m and 0(b)=n

Prove that G is cyclic if and only if ab=ba

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