- #1
Metahominid
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Homework Statement
G is a group. Let a,b be elements of G. If order(ab) is a finite number n, show order(ba) = n as well.
Homework Equations
order(a) = order(<a>) where <a> is the cyclic group generated by a.
The Attempt at a Solution
I do not know. I thought it may be related to how that if a finite cyclic group has order n it is isomorphic to (Zn,+n). Any hints would be good.