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A Theorem on Engel Groups
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For any pair of elements x, y of a group, we write
[x,y]for the elements x-1 y-1 xy,
[x1,...,xk] for [[x1,...,xk-1],xk] where k>0,
[(x,y)k] for [x,y,...,y] where k>0.
[x,y]for the elements x-1 y-1 xy,
[x1,...,xk] for [[x1,...,xk-1],xk] where k>0,
[(x,y)k] for [x,y,...,y] where k>0.
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