Averaged Dehn functions for nilpotent groups
نویسندگان
چکیده
منابع مشابه
Averaged Dehn Functions for Nilpotent Groups
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 δ(l) < C...
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ژورنال
عنوان ژورنال: Topology
سال: 2008
ISSN: 0040-9383
DOI: 10.1016/j.top.2007.09.003