- #1
mathmari
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MHB
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Hey! ![Eek! :eek: :eek:](data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7)
"Show that a group of even order contains an odd number of elements of order $2$."
We know that the order of an element of a finite group divides the order of the group.
Since, the order of the group is even, there are elements of order $2$.
But how can I show that the number of these elements is odd?? (Wondering)
"Show that a group of even order contains an odd number of elements of order $2$."
We know that the order of an element of a finite group divides the order of the group.
Since, the order of the group is even, there are elements of order $2$.
But how can I show that the number of these elements is odd?? (Wondering)