Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Separability Properties of Nilpotent $\mathbb{Q}[x]$-Powered Groups   In this paper we study conjugacy and subgroup separability properties in the
class of nilpotent $\mathbb{Q}[x]$-powered groups. Many of the techniques used
to study these properties in the context of ordinary nilpotent groups carry
over naturally to this more general class. Among other results, we offer a
generalization of a theorem due to G. Baumslag. The generalized version states
that if $G$ is a finitely $\mathbb{Q}[x]$-generated
$\mathbb{Q}[x]$-torsion-free nilpotent $\mathbb{Q}[x]$-powered group and $H$ is
a $\mathbb{Q}[x]$-isolated subgroup of $G,$ then for any prime $\pi \in
\mathbb{Q}[x]$, $\bigcap_{i = 1}^{\infty} G^{{\pi}^{i}}H = H.$

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The categories of this paper are: supr-con
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The categories of this paper are: alg-geom
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The categories of this paper are: acc-phys
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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: patt-sol
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The categories of this paper are: eess
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The categories of this paper are: cond-mat
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The categories of this paper are: q-fin
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-ex
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The categories of this paper are: hep-lat
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The categories of this paper are: econ
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The categories of this paper are: math-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: physics