Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Characters, Commutators and Centers of Sylow Subgroups   The character table of a finite group G determines whether |P:P'|=p^2 and
whether |P:Z(P)|=p^2, where P is a Sylow p-subgroup of G. To prove the latter,
we give a detailed classification of those groups in terms of the generalized
Fitting subgroup.

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The categories of this paper are: chem-ph
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The categories of this paper are: q-fin
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The categories of this paper are: adap-org
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The categories of this paper are: funct-an
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The categories of this paper are: cond-mat
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The categories of this paper are: astro-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: comp-gas
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The categories of this paper are: hep-ex
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The categories of this paper are: cmp-lg
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The categories of this paper are: quant-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: math-ph
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The categories of this paper are: supr-con
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The categories of this paper are: q-bio
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The categories of this paper are: dg-ga