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Show that if G is a finite group of even order, then G has an odd number
of elements of order 2.
I'd appreciate a tip or two. I really don't see how the order of the elements of a group is linked to the order of that group.
of elements of order 2.
I'd appreciate a tip or two. I really don't see how the order of the elements of a group is linked to the order of that group.