Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Residual Finiteness Growths of Virtually Special Groups   Let $G$ be a virtually special group. Then the residual finiteness growth of
$G$ is at most linear. This result cannot be found by embedding $G$ into a
special linear group. Indeed, the special linear group
$\text{SL}_k(\mathbb{Z})$, for $k > 2$, has residual finiteness growth
$n^{k-1}$.

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The categories of this paper are: solv-int
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-ex
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The categories of this paper are: patt-sol
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The categories of this paper are: mtrl-th
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The categories of this paper are: supr-con
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The categories of this paper are: nlin
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The categories of this paper are: hep-th
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The categories of this paper are: quant-ph
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The categories of this paper are: math-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: nucl-th
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The categories of this paper are: q-bio
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The categories of this paper are: q-alg
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The categories of this paper are: bayes-an
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The categories of this paper are: stat