Subsemigroups of nilpotent groups

@article{Neumann1963SubsemigroupsON,
  title={Subsemigroups of nilpotent groups},
  author={B. H. Neumann and Tekla Taylor},
  journal={Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences},
  year={1963},
  volume={274},
  pages={1 - 4}
}
It is shown that a semigroup can be embedded in an ilpotent group of class c if, and only if, it is cancellative and satisfies a certain law Lc. 

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