On the growth of residually soluble groups

• Autores: John S. Wilson
• Localización: Journal of the London Mathematical Society, ISSN 0024-6107, Vol. 71, Nº 1, 2005, págs. 121-131
• Idioma: inglés
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• Resumen

  • It is shown that, for finitely generated residually soluble groups, a condition weaker than polynomial growth guarantees virtual nilpotence. Let be a residually soluble group having a finite generating set , and suppose that the number of elements of that are products of at most elements of satisfies for each , where as ; then is virtually nilpotent.