Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Rank Three p-Group Actions on Products of Spheres   Let p be an odd prime. We prove that every rank three p-group acts freely and
smoothly on a product of three spheres. To construct this action, we first
prove a generalization of a theorem of L\" uck and Oliver on constructions of
G-equivariant vector bundles. We also give some other applications of this
generalization.

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The categories of this paper are: quant-ph
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The categories of this paper are: econ
35
The categories of this paper are: mtrl-th
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The categories of this paper are: adap-org
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The categories of this paper are: nucl-ex
7
The categories of this paper are: hep-th
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The categories of this paper are: ao-sci
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The categories of this paper are: nucl-th
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The categories of this paper are: patt-sol
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The categories of this paper are: plasm-ph
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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: solv-int
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The categories of this paper are: q-alg
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The categories of this paper are: cmp-lg
26
The categories of this paper are: bayes-an