Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4657596 | Topology | 2008 | 17 Pages |
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)
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
Authors
Robert Young,