|
This article is cited in 18 scientific papers (total in 18 papers)
Twisted conjugacy classes in general and special linear groups
T. R. Nasybullov Novosibirsk State University, Novosibirsk, Russia
Abstract:
We consider twisted conjugacy classes and the $R_\infty$-property for classical linear groups. In particular, it is stated that the general linear group $\mathrm{GL}_n(K)$ and the special linear group $\mathrm{SL}_n(K)$, for $n\ge3$, possess the $R_\infty$-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 $\operatorname{Aut}(K)$ is finite. By an integral domain we mean a commutative ring with identity which has no zero divisors.
Keywords:
linear group, twisted conjugacy classes, automorphism group, integral domain.
Received: 10.03.2012 Revised: 03.04.2012
Citation:
T. R. Nasybullov, “Twisted conjugacy classes in general and special linear groups”, Algebra Logika, 51:3 (2012), 331–346; Algebra and Logic, 51:3 (2012), 220–231
Linking options:
https://www.mathnet.ru/eng/al538 https://www.mathnet.ru/eng/al/v51/i3/p331
|
Statistics & downloads: |
Abstract page: | 330 | Full-text PDF : | 82 | References: | 66 | First page: | 10 |
|