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kathrynag
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Homework Statement
If G is an abelian group, then (ab)^2=a^2b^2 for all a, b in G. Give an example to show that abelian is necessary in the statement of the theorem.
Homework Equations
The Attempt at a Solution
Abelian implies commutativity.
a*b=?b*a
a^2b^2=b^2a^2
For example ab=ba must be true for the statement to work.