Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dimensions of Zassenhaus filtration subquotients of some pro-$p$-groups   We compute the ${\mathbb F}_p$-dimension of an $n$-th graded piece
$G_{(n)}/G_{(n+1)}$ of the Zassenhaus filtration for various finitely generated
pro-$p$-groups $G$. These groups include finitely generated free
pro-$p$-groups, Demushkin pro-$p$-groups and their free pro-$p$ products. We
provide a unifying principle for deriving these dimensions.

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The categories of this paper are: comp-gas
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The categories of this paper are: q-alg
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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: gr-qc
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The categories of this paper are: hep-th
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The categories of this paper are: eess
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The categories of this paper are: plasm-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: nucl-ex
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The categories of this paper are: nlin
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The categories of this paper are: acc-phys
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The categories of this paper are: atom-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: cmp-lg
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The categories of this paper are: q-fin