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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
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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
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\crossref{https://doi.org/10.12958/adm1516}
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85085393954}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Algebra and Discrete Mathematics
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