Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Automorphism groups of cyclic products of groups   This article initiates a geometric study of the automorphism groups of
general graph products of groups, and investigates the algebraic and geometric
structure of automorphism groups of cyclic product of groups. For a cyclic
product of at least five groups, we show that the action of the cyclic product
on its Davis complex extends to an action of the whole automorphism group. This
action allows us to completely compute the automorphism group and to derive
several of its properties: Tits Alternative, acylindrical hyperbolicity, lack
of property (T).

7
The categories of this paper are: hep-th
14
The categories of this paper are: math-ph
16
The categories of this paper are: stat
4
The categories of this paper are: cond-mat
0
The categories of this paper are: hep-ph
15
The categories of this paper are: nucl-ex
31
The categories of this paper are: ao-sci
13
The categories of this paper are: quant-ph
35
The categories of this paper are: mtrl-th
5
The categories of this paper are: gr-qc
34
The categories of this paper are: chem-ph
26
The categories of this paper are: bayes-an
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The categories of this paper are: comp-gas
20
The categories of this paper are: acc-phys
3
The categories of this paper are: physics
30
The categories of this paper are: q-alg