Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Graph-wreath products and finiteness conditions   A notion of \emph{graph-wreath product} is introduced. We obtain sufficient
conditions for these products to satisfy the topologically inspired finiteness
condition type $\operatorname{F}_n$. Under various additional assumptions we
show that these conditions are necessary. Our results generalise results of
Cornulier about wreath products in case $n=2$. Graph-wreath products include
classical permutational wreath products and semidirect products of right-angled
Artin groups by groups of automorphisms amongst others.

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The categories of this paper are: chao-dyn
34
The categories of this paper are: chem-ph
9
The categories of this paper are: nlin
13
The categories of this paper are: quant-ph
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The categories of this paper are: q-alg
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The categories of this paper are: econ
14
The categories of this paper are: math-ph
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The categories of this paper are: dg-ga
1
The categories of this paper are: cs
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The categories of this paper are: nucl-ex
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The categories of this paper are: mtrl-th
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The categories of this paper are: adap-org
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The categories of this paper are: comp-gas
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The categories of this paper are: bayes-an
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The categories of this paper are: hep-lat
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The categories of this paper are: hep-ex