Gilbert Baumslag
Abstract
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Abstract An element in a free group is a proper power if and only if it is a proper power in every nilpotent factor group. Moreover there is an algorithm to decide if an element in a finitely generated torsion-free nilpotent group is a proper power.
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Abstract An element in a free group is a proper power if and only if it is a proper power in every nilpotent factor group. Moreover there is an algorithm to decide if an element in a finitely generated torsion-free nilpotent group is a proper power.
Key concepts: Nilpotent, Mathematics, Nilpotent group, Central series, Element (criminal law), Unipotent, Pure mathematics, Group (periodic table)