Order of Group G in Group theory #addmaths #alevelmaths

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Group Theory 6, order of a Group, order of an element Group Theory 6, order of a Group, order of an element
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Let G be group, a ɛ G and O(a)=n. Then for any positive integer k, O(a^k) =n/(n,k). Let G be group, a ɛ G and O(a)=n. Then for any positive integer k, O(a^k) =n/(n,k).
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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