Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Twisted homological stability for extensions and automorphism groups of
  free nilpotent groups   We prove twisted homological stability with polynomial coefficients for
automorphism groups of free nilpotent groups of any given class. These groups
interpolate between two extremes for which homological stability was known
before, the general linear groups over the integers and the automorphism groups
of free groups. The proof presented here uses a general result that applies to
arbitrary extensions of groups, and that has other applications as well.

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The categories of this paper are: plasm-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: adap-org
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The categories of this paper are: supr-con
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The categories of this paper are: patt-sol
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The categories of this paper are: astro-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: solv-int
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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: gr-qc
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-lat
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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: hep-th