Filling inequalities for nilpotent groups

Details Filling inequalities for nilpotent groups Filling inequalities for nilpotent groups

2006-08-07

arxiv.org/abs/math/0608174v5

Mathematics

Group Theory

29 pages, 2 figures; entirely rewritten and merged with arXiv:math/0601297

Scientific paper

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 two-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.

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