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Algebra i logika, 2012, Volume 51, Number 3, Pages 331–346 (Mi al538)  

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
References:
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
English version:
Algebra and Logic, 2012, Volume 51, Issue 3, Pages 220–231
DOI: https://doi.org/10.1007/s10469-012-9185-6
Bibliographic databases:
Document Type: Article
UDC: 512.54
Language: Russian
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
Citation in format AMSBIB
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\by T.~R.~Nasybullov
\paper Twisted conjugacy classes in general and special linear groups
\jour Algebra Logika
\yr 2012
\vol 51
\issue 3
\pages 331--346
\mathnet{http://mi.mathnet.ru/al538}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3013908}
\zmath{https://zbmath.org/?q=an:1264.20046}
\transl
\jour Algebra and Logic
\yr 2012
\vol 51
\issue 3
\pages 220--231
\crossref{https://doi.org/10.1007/s10469-012-9185-6}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000309471100003}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84866152129}
Linking options:
  • https://www.mathnet.ru/eng/al538
  • https://www.mathnet.ru/eng/al/v51/i3/p331
  • This publication is cited in the following 18 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Алгебра и логика Algebra and Logic
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    Abstract page:330
    Full-text PDF :82
    References:66
    First page:10
     
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