If a is the only element of order 2 in a group, does it belong to the centre Z(G)?
Hint: In every group, there is always a certain special (and familiar) element, of order 2.
Not true. If you're thinking of the identity element, then it has order 1.
I don't want to give the OP any hints because he/she hasn't posted any work.
You are right, of course. How embarrassing...
It happens to all of us!
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