To show that a non-abelian group G, has elements x,y,z such that xy = yz where y≠z,(adsbygoogle = window.adsbygoogle || []).push({});

Is it enough to simply state for non-abelian groups xy≠yx so if you have xy=yz then it is not possible for x=z due to xy≠yx?

Or is more detail required?

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# Non abelian group question

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