Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Filling inequalities for nilpotent groups   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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The categories of this paper are: atom-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: nucl-ex
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The categories of this paper are: patt-sol
0
The categories of this paper are: hep-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: cmp-lg
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The categories of this paper are: ao-sci
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The categories of this paper are: gr-qc
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The categories of this paper are: quant-ph
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The categories of this paper are: solv-int
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The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
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The categories of this paper are: comp-gas
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The categories of this paper are: funct-an
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The categories of this paper are: bayes-an