Resumen de Asymptotic growth of averaged Dehn functions for nilpotent groups

V. A. Roman'kov

• 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.