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- W2002003265 abstract "Gromov proposed an averaged version of the Dehn function and claimed that in many cases it should be subasymptotic to the Dehn function. Using results on random walks in nilpotent groups, we confirm this claim for most nilpotent groups. In particular, if a nilpotent group satisfies the isoperimetric inequality δ(l)<Clα for α>2, then it satisfies the averaged isoperimetric inequality δavg(l)<C′lα/2. In the case of non-abelian free nilpotent groups, the bounds we give are asymptotically sharp." @default.
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- W2002003265 date "2008-09-01" @default.
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- W2002003265 title "Averaged Dehn functions for nilpotent groups" @default.
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- W2002003265 doi "https://doi.org/10.1016/j.top.2007.09.003" @default.
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