Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Acylindrical group actions on quasi-trees   A group G is acylindrically hyperbolic if it admits a non-elementary
acylindrical action on a hyperbolic space. We prove that every acylindrically
hyperbolic group G has a generating set X such that the corresponding Cayley
graph is a (non-elementary) quasi-tree and the action of G on the Cayley graph
is acylindrical. Our proof utilizes the notions of hyperbolically embedded
subgroups and projection complexes. As a by-product, we obtain some new results
about hyperbolically embedded subgroups and quasi-convex subgroups of
acylindrically hyperbolic groups.

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The categories of this paper are: alg-geom
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The categories of this paper are: chem-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: comp-gas
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The categories of this paper are: cmp-lg
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The categories of this paper are: math-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: adap-org
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The categories of this paper are: stat
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The categories of this paper are: dg-ga
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The categories of this paper are: quant-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: chao-dyn
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The categories of this paper are: q-bio
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The categories of this paper are: patt-sol
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The categories of this paper are: mtrl-th