Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Loxodromic elements in the cyclic splitting complex and their
  centralizers   We show that an outer automorphism acts loxodromically on the cyclic
splitting complex if and only if it has a filling lamination and no generic
leaf of the lamination is carried by a vertex group of a cyclic splitting. This
is the analog for the cyclic splitting complex of Handel-Mosher's theorem on
loxodromics for the free splitting complex. We also show that such outer
automorphisms have virtually cyclic centralizers.

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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-ph
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The categories of this paper are: q-fin
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The categories of this paper are: eess
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The categories of this paper are: cs
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: q-bio
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The categories of this paper are: dg-ga
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The categories of this paper are: nucl-ex
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The categories of this paper are: q-alg
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The categories of this paper are: chem-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: adap-org
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The categories of this paper are: solv-int
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The categories of this paper are: econ