21 citations · 98 across the 26 of their papers we have counts for
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math.GR2006★ 21 cited
Filling inequalities for nilpotent groups
Robert Young
We bound the higher-order Dehn functions and other filling invariants of certain Carnot groups using approximation techniques. These groups include the higher-dimensional Heisenber…
math.GR2006★ 7 cited
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…
math.DG2006
Counting hyperbolic manifolds with bounded diameter
Robert Young
Let be the number of complete hyperbolic manifolds of dimension n with volume less than . Burger, Gelander, Lubotzky, and Moses showed that when n>3 there exist a,b>0 d…