If 'a' is an element of a group G such that 0(a)=n then a^m =e iff n/m

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Let G be a group, a ɛ G and O(a)=n. Then a^m=e iff n|m. Let G be a group, a ɛ G and O(a)=n. Then a^m=e iff n|m.
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If the element If the element 'a' of a group G is of order n, then a^m =e iff n is a divisor of m || Group Theory.