7 citations · 17 across the 5 of their papers we have counts for
4 papers · 1 filter
A polynomial isoperimetric inequality for SL(n,Z)
Robert Young
We prove that when n>=5, the Dehn function of SL(n,Z) is at most quartic. The proof involves decomposing a disc in SL(n,R)/SO(n) into a quadratic number of loops in generalized Sie…
Homological and homotopical higher-order filling functions
Robert Young
We construct groups in which FV^3(n) != δ^2(n). This construction also leads to groups G_k, k >= 3 for which δ^{k}(n) is not subrecursive.
Scaled relators and Dehn functions for nilpotent groups
Robert Young
A homogeneous nilpotent Lie group has a scaling automorphism determined by a grading of its Lie algebra. Many proofs of upper bounds for the Dehn function of such a group depend on…
Averaged Dehn Functions for Nilpotent Groups
Robert Young
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…