Order of product of two elements in group

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Reference no: EM13131781

Let G be a group (finite or infinite) and let a and b in G. Let o(a) represent the order of a.

Suppose G is abelian and both a and b are of finite order. Show that ab is of finite order and o(ab) divides o(a)o(b).

Reference no: EM13131781

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