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Let G = (a1, …, ax } be a finite abelian group. Show that ajd2 . . . ax has order 1 or 2. (2) Suppose that G is a group in which every element has order 1 or 2. Show that G must be abelian.

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Let G = (a1, …, ax } be a finite abelian group. Show that ajd2 . . . ax has order
1 or 2.
(2) Suppose that G is a group in which every element has order 1 or 2. Show that
G must be abelian.

 
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