Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: JSJ decompositions of Coxeter groups over FA subgroups   A group G has property FA if G fixes a point of every tree on which G acts
without inversions. We prove that every Coxeter system of finite rank has a
visual JSJ decomposition over subgroups with property FA. As an application, we
reduce the twist conjecture to Coxeter systems that are indecomposable with
respect to amalgamated products over visual subgroups with property FA.

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The categories of this paper are: physics
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The categories of this paper are: ao-sci
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The categories of this paper are: astro-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: mtrl-th
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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: atom-ph
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The categories of this paper are: hep-ph
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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: cmp-lg
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-ex
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The categories of this paper are: econ
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The categories of this paper are: supr-con