Let a and b be elements of a group G. Prove that G is abelian if and only if (ab)^(2) = a^(2) * b^(2)
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What have you tried? Where are you getting stuck? (Also, I believe the statement should be that is abelian )
Originally Posted by Defunkt What have you tried? Where are you getting stuck? (Also, I believe the statement should be that is abelian ) i got stuck how to do it conversely.
consider if then since G is a group, consider and use the properties of groups and you'll see why G is abelian.
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