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20052009
most citedScaled relators and Dehn functions for nilpotent groups

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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…