Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Twisted conjugacy classes in twisted Chevalley groups   Let G be a group and {\phi} be an automorphism of G. Two elements x, y of G
are said to be {\phi}-twisted if y = gx{\phi}(g)^{-1} for some g in G. We say
that a group G has the R_{\infty}-property if the number of {\phi}-twisted
conjugacy classes is infinite for every automorphism {\phi} of G. In this
paper, we prove that twisted Chevalley groups over the field k of
characteristic zero have the R_{\infty}-property as well as S_{\infty}-property
if k has finite transcendence degree over \mathbb{Q} or Aut(k) is periodic.

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The categories of this paper are: bayes-an
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The categories of this paper are: comp-gas
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: q-fin
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The categories of this paper are: econ
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The categories of this paper are: hep-ex
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The categories of this paper are: ao-sci
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The categories of this paper are: q-alg
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The categories of this paper are: plasm-ph
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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: quant-ph
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The categories of this paper are: eess
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The categories of this paper are: q-bio
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The categories of this paper are: nlin