Recognizing powers in nilpotent groups and nilpotent images of free groups

• Autores: Gilbert Baumslag
• Localización: Journal of the Australian Mathematical Society, ISSN 1446-7887, Vol. 83, Nº 2, 2007, págs. 149-154
• Idioma: inglés
• DOI: 10.1017/s1446788700036843
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• Resumen

  • 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.