Asymptotic growth of averaged Dehn functions for nilpotent groups

• Autores: V. A. Roman'kov
• Localización: Algebra and logic, ISSN 0002-5232, Vol. 46, Nº. 1, 2007, págs. 37-45
• Idioma: inglés
• DOI: 10.1007/s10469-007-0004-4
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• Resumen

  • It is proved that in any finite representation of any finitely generated nilpotent group of nilpotency class l ? 1, the averaged Dehn function s(n) is subasymptotic w.r.t. the function nl+1. As a consequence it is stated that in every finite representation of a free nilpotent group of nilpotency class l of finite rank r ? 2, the Dehn function s(n) is Gromov subasymptotic.