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arXiv · 1502.02627

Twisted conjugacy classes in Chevalley groups

T. R. Nasybullov
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Abstract

We prove that Chevalley group over the field $F$ of zero characteristic possess $R_{\infty}$ property, if $F$ has torsion group of automorphisms or $F$ is an algebraically closed field which has finite transcendence degree over $\mathbb{Q}$. As a consequence we obtain that the twisted conjugacy class $[e]_φ$ of unit element is a subgroup of Chevalley group if and only if $φ$ is central automorphism.

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T. R. Nasybullov. 2015-02-26. Twisted conjugacy classes in Chevalley groups. https://arxiv.org/abs/1502.02627

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