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math.GR2009
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…
math.GR2008★ 4 cited
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.