Algebra and Discrete Mathematics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Algebra Discrete Math.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Algebra and Discrete Mathematics, 2020, Volume 29, Issue 1, Pages 1–32
DOI: https://doi.org/10.12958/adm1516 (Mi adm735) 		 
This article is cited in 1 scientific paper (total in 1 paper)

SURVEY ARTICLE

On some topics in the theory of infinite dimensional linear groups

M. R. Dixona, L. A. Kurdachenkob, N. N. Semkoc, I. Ya. Subbotind

a Department of Mathematics, University of Alabama, Tuscaloosa, AL 35487-0350, U.S.A.
b Department of Algebra, Faculty of Mathematics and Mechanics, National University of Dnepropetrovsk, Gagarin prospect 72, Dnipro 10, 49010, Ukraine
c Department of Mathematics, National State Tax Service Academy of Ukraine, 09200 Irpin, Ukraine
d Department of Mathematics and Natural Sciences, National University, 5245 Pacific Concourse Drive, Los Angeles, CA 90045-6904, U.S.A
Full-text PDF (469 kB) Citations (1)
References:
PDF
HTML
DOI: https://doi.org/10.12958/adm1516
Abstract: In this paper we present a synopsis of some recent results concerned with infinite dimensional liner groups, including generalizations of irreducibility, the central dimension of a linear group, groups with finite dimensional orbits and the maximal and minimal conditions on subgroups of infinite central dimension.
Keywords: finite central dimension, irreducible group, quasi-irreducible group, FC-hypercentral, augmentation dimension, finite orbit, finite dimensional orbit, minimal condition, maximal condition.
Received: 20.12.2019
Bibliographic databases:
Document Type: Article
MSC: Primary 20H25; Secondary 20F29, 20E34
Language: English
Citation: M. R. Dixon, L. A. Kurdachenko, N. N. Semko, I. Ya. Subbotin, “On some topics in the theory of infinite dimensional linear groups”, Algebra Discrete Math., 29:1 (2020), 1–32
Citation in format AMSBIB
\Bibitem{DixKurSem20}
\by M.~R.~Dixon, L.~A.~Kurdachenko, N.~N.~Semko, I.~Ya.~Subbotin
\paper On some topics in the theory of infinite dimensional linear groups
\jour Algebra Discrete Math.
\yr 2020
\vol 29
\issue 1
\pages 1--32
\mathnet{http://mi.mathnet.ru/adm735}
\crossref{https://doi.org/10.12958/adm1516}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000533656800002}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85085393954}
Linking options:
  • https://www.mathnet.ru/eng/adm735
  • https://www.mathnet.ru/eng/adm/v29/i1/p1
    • This publication is cited in the following 1 articles:
    1. M. H. Bien, M. Ramezan-Nassab, T. N. Son, L. Q. Truong, “Generalized Jordan forms of matrices over division rings”, J. Algebra Appl., 24:02 (2025)  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Algebra and Discrete Mathematics
    Statistics & downloads:
    Abstract page:129
    Full-text PDF :99
    References:30
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025