Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Automorphisms of Groups and a Higher Rank JSJ Decomposition I: RAAGs and
  a Higher Rank Makanin-Razborov Diagram   The JSJ decomposition encodes the automorphisms and the virtually cyclic
splittings of a hyperbolic group. For general finitely presented groups, the
JSJ decomposition encodes only their splittings.
  In this sequence of papers we study the automorphisms of a hierarchically
hyperbolic group that satisfies some weak acylindricity conditions. To study
these automorphisms we construct an object that can be viewed as a higher rank
JSJ decomposition.
  In the first paper we demonstrate our construction in the case of a right
angled Artin group. For studying automorphisms of a general HHG we construct
what we view as a higher rank Makanin-Razborov diagram, which is the first step
in the construction of the higher rank JSJ.

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The categories of this paper are: comp-gas
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The categories of this paper are: mtrl-th
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The categories of this paper are: bayes-an
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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: econ
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The categories of this paper are: plasm-ph
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The categories of this paper are: eess
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The categories of this paper are: nucl-th
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The categories of this paper are: stat
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The categories of this paper are: physics
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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: 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