Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Virtually cyclic dimension for 3-manifold groups   Let G be the fundamental group of a connected, closed, orientable 3-manifold.
We explicitly compute its virtually cyclic geometric dimension. Among the tools
we use are the prime and JSJ decompositions of M, several push-out type
constructions, as well as some Bredon cohomology computations.

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The categories of this paper are: acc-phys
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The categories of this paper are: stat
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The categories of this paper are: mtrl-th
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The categories of this paper are: q-bio
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The categories of this paper are: ao-sci
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The categories of this paper are: quant-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: nlin
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The categories of this paper are: solv-int
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The categories of this paper are: gr-qc
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The categories of this paper are: econ
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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: q-fin
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The categories of this paper are: nucl-ex
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The categories of this paper are: q-alg