Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Nonstandard Cayley automatic representations of fundamental groups   We construct a new family of Cayley automatic representations of semidirect
products $\mathbb{Z}^n \rtimes_A \mathbb{Z}$ for which none of the projections
of the normal subgroup $\mathbb{Z}^n$ onto each of its cyclic components is
finite automaton recognizable. For $n=2$ we describe a family of matrices from
$\mathrm{GL}(2,\mathbb{Z})$ corresponding to these representations. We are
motivated by a problem of characterization of all possible Cayley automatic
representations of these groups.

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The categories of this paper are: solv-int
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The categories of this paper are: stat
14
The categories of this paper are: math-ph
8
The categories of this paper are: hep-ex
36
The categories of this paper are: cmp-lg
22
The categories of this paper are: chao-dyn
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The categories of this paper are: adap-org
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The categories of this paper are: dg-ga
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The categories of this paper are: econ
10
The categories of this paper are: q-bio
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The categories of this paper are: q-fin
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The categories of this paper are: hep-th
35
The categories of this paper are: mtrl-th
37
The categories of this paper are: supr-con
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The categories of this paper are: bayes-an
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The categories of this paper are: nucl-th