Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Strong accessibility for finitely presented groups   A hierarchy of a group is a rooted tree of groups obtained by iteratively
passing to vertex groups of graphs of groups decompositions. We define a
(relative) slender JSJ hierarchy for (almost) finitely presented groups and
show that it is finite, provided the group in question doesn't contain any
slender subgroups with infinite dihedral quotients and satisfies an ascending
chain condition on certain chains of subgroups of edge groups.
  As a corollary, slender JSJ hierarchies of hyperbolic groups which are
(virtually) without $2$--torsion and finitely presented subgroups of SL(n,Z)
are both finite.

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The categories of this paper are: math-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: funct-an
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The categories of this paper are: eess
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The categories of this paper are: bayes-an
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-lat
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The categories of this paper are: quant-ph
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The categories of this paper are: cs
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The categories of this paper are: hep-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-th
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The categories of this paper are: supr-con
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The categories of this paper are: mtrl-th