Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Non-virtually nilpotent groups have infinite conjugacy class quotients   We offer in this note a self-contained proof of the fact that a finitely
generated group is not virtually nilpotent if and only if it has a quotient
with the infinite conjugacy class (ICC) propoerty. This proof is a modern
presentation of the original proof, by McLain (1956) and Duguid and McLain
(1956).

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The categories of this paper are: adap-org
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-lat
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The categories of this paper are: chem-ph
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The categories of this paper are: cs
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The categories of this paper are: comp-gas
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The categories of this paper are: chao-dyn
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The categories of this paper are: physics
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The categories of this paper are: nlin
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The categories of this paper are: nucl-th
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The categories of this paper are: stat
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The categories of this paper are: patt-sol
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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: mtrl-th
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The categories of this paper are: funct-an