Geodesic
Filling inequalities for nilpotent groups through approximations
Robert Young1
1University of Toronto, Canada
Groups, geometry, and dynamics, Tome 7 (2013) no. 4, pp. 977-1011

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DOI

We bound the higher-order Dehn functions and other filling invariants of certain Carnot groups using approximation techniques. These groups include the higher-dimensional Heisenberg groups, jet groups, and central products of 2-step nilpotent groups. Some consequences of this work are a construction of groups with arbitrarily large nilpotency class that have Euclidean n-dimensional filling volume functions, and a proof of part of a conjecture of Gromov on the higher-order filling functions of the higher-dimensional Heisenberg groups.
DOI : 10.4171/ggd/213
Classification : 20-XX
Mots-clés : Dehn function, Heisenberg group, filling inequalities, nilpotent groups

Robert Young  1

1 University of Toronto, Canada 
Robert Young. Filling inequalities for nilpotent groups through approximations. Groups, geometry, and dynamics, Tome 7 (2013) no. 4, pp. 977-1011. doi: 10.4171/ggd/213
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     number = {4},
     doi = {10.4171/ggd/213},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/213/}
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