Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Twisted Conjugacy in Direct Products of Groups   Given a group $G$ and an endomorphism $\varphi$ of $G$, two elements $x, y
\in G$ are said to be $\varphi$-conjugate if $x = gy \varphi(g)^{-1}$ for some
$g \in G$. The number of equivalence classes for this relation is the
Reidemeister number $R(\varphi)$ of $\varphi$. The set $\{R(\psi) \mid \psi \in
\mathrm{Aut}(G)\}$ is called the Reidemeister spectrum of $G$. We investigate
Reidemeister numbers and spectra on direct products of finitely many groups and
determine what information can be derived from the individual factors.

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The categories of this paper are: atom-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: chao-dyn
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The categories of this paper are: ao-sci
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The categories of this paper are: patt-sol
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The categories of this paper are: plasm-ph
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The categories of this paper are: q-fin
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The categories of this paper are: solv-int
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The categories of this paper are: mtrl-th
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The categories of this paper are: stat
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The categories of this paper are: eess
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The categories of this paper are: cmp-lg
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The categories of this paper are: adap-org
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The categories of this paper are: quant-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: hep-ph