Twisted conjugacy in classical groups over certain domains of Characteristic $p>0$

Shripad M. Garge; Oorna Mitra

doi:10.1016/j.jalgebra.2022.05.020

Twisted conjugacy in classical groups over certain domains of Characteristic $p>0$

Group Theory 2022-06-08 v2

Authors: Shripad M. Garge , Oorna Mitra

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Abstract

Let $F$ be a subfield of the algebraic closure of a finite field $\mathbb{F}_p$ , $p \ne 2$ , and let $R$ denote any ring such that $F[t] \subset R \subsetneq F(t)$ . Let $G$ be a classical Chevalley group of adjoint type defined over $R$ . We prove that the group $G(R)$ has the $R_{\infty}$ -property.

Keywords

twisted conjugacy classical chevalley groups r-infinity property rings between f[t] and f(t) characteristic p

Cite

@article{arxiv.2202.09757,
  title  = {Twisted conjugacy in classical groups over certain domains of Characteristic $p>0$},
  author = {Shripad M. Garge and Oorna Mitra},
  journal= {arXiv preprint arXiv:2202.09757},
  year   = {2022}
}

Comments

A few typographical errors corrected in the new version

Twisted conjugacy in classical groups over certain domains of Characteristic $p>0$

Abstract

Keywords

Cite

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