Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Tits Alternative for groups acting properly on $2$-dimensional recurrent
  complexes (with an appendix written jointly with Jon McCammond)   We prove the Tits Alternative for groups acting on $2$-dimensional
"recurrent" complexes with uniformly bounded cell stabilisers. This class of
complexes includes, among others: $2$-dimensional Euclidean buildings,
$2$-dimensional systolic complexes, $B(6)$-small cancellation complexes, and
standard Cayley complexes for Artin groups of extra-large type. In the appendix
written jointly with Jon McCammond we extend the result to a class of
$2$-dimensional Artin groups containing all large-type Artin groups.

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The categories of this paper are: hep-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: chao-dyn
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The categories of this paper are: physics
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The categories of this paper are: hep-lat
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The categories of this paper are: stat
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The categories of this paper are: astro-ph
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The categories of this paper are: eess
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The categories of this paper are: q-fin
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The categories of this paper are: supr-con
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The categories of this paper are: cond-mat
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The categories of this paper are: solv-int
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The categories of this paper are: hep-ex
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The categories of this paper are: mtrl-th
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The categories of this paper are: hep-th
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The categories of this paper are: bayes-an