Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Decomposability of Finitely Generated Torsion-free Nilpotent Groups   We describe an algorithm for deciding whether or not a given finitely
generated torsion-free nilpotent group is decomposable as the direct product of
nontrivial subgroups.

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The categories of this paper are: physics
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The categories of this paper are: hep-lat
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The categories of this paper are: hep-ex
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The categories of this paper are: stat
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The categories of this paper are: nucl-th
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The categories of this paper are: econ
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The categories of this paper are: adap-org
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The categories of this paper are: ao-sci
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The categories of this paper are: mtrl-th
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The categories of this paper are: cmp-lg
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The categories of this paper are: patt-sol
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The categories of this paper are: hep-ph
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The categories of this paper are: hep-th
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The categories of this paper are: math-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: supr-con