Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Nilpotent groups without exactly polynomial Dehn function   We prove super-quadratic lower bounds for the growth of the filling area
function of a certain class of Carnot groups. This class contains groups for
which it is known that their Dehn function grows no faster than $n^2\log n$. We
therefore obtain the existence of (finitely generated) nilpotent groups whose
Dehn functions do not have exactly polynomial growth and we thus answer a
well-known question about the possible growth rate of Dehn functions of
nilpotent groups.

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The categories of this paper are: nucl-th
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The categories of this paper are: plasm-ph
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The categories of this paper are: math-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: adap-org
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The categories of this paper are: physics
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The categories of this paper are: dg-ga
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The categories of this paper are: eess
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The categories of this paper are: econ
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-ph
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The categories of this paper are: nlin
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The categories of this paper are: patt-sol
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The categories of this paper are: q-fin
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The categories of this paper are: hep-lat
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The categories of this paper are: quant-ph