Twisted conjugacy classes in general and special linear groups

We consider twisted conjugacy classes and the R∞-property for classical linear groups. In particular, it is stated that the general linear group GLn(K) and the special linear group SLn(K), where \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ n \geqslant 3 $$\end{document}, possess the R∞-property if either K is an infinite integral domain with trivial automorphism group or K is an integral domain containing a subring of integers, whose automorphism group Aut(K) is finite. By an integral domain we mean a commutative ring with identity which has no zero divisors.