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Algebra and Discrete Mathematics, 2009, Issue 4, Pages 120–134 (Mi adm147)  
This article is cited in 3 scientific papers (total in 3 papers)

SURVEY ARTICLE

The structure of infinite dimensional linear groups satisfying certain finiteness conditions

José M. Muñoz-Escolanoa, J. Otala, N. N. Semkob

a Departamento de Matemáaticas – IUMA, Universidad de Zaragoza, Pedro Cerbuna 12. 50009 Zaragoza, SPAIN
b Department of Mathematics, National State Tax Service Academy of Ukraine, 09200 Irpen, UKRAINE
Full-text PDF (258 kB) Citations (3)
Abstract: We review some recent results on the structure of infinite dimensional linear groups satisfying some finiteness conditions on certain families of subgroups. This direction of research is due to Leonid A. Kurdachenko, who developed the main steps of the theory jointly with mathematicians from several countries.
Keywords: Linear group. Minimal, maximal, weak minimal and weak maximal conditions. Central and augmentation dimensions.
Received: 23.08.2009
Revised: 23.08.2009
Bibliographic databases:
Document Type: Article
MSC: 20F22, 20H20
Language: English
Citation: José M. Muñoz-Escolano, J. Otal, N. N. Semko, “The structure of infinite dimensional linear groups satisfying certain finiteness conditions”, Algebra Discrete Math., 2009, no. 4, 120–134
Citation in format AMSBIB
\Bibitem{MunOtaSem09}
\by Jos\'e~M.~Mu\~noz-Escolano, J.~Otal, N.~N.~Semko
\paper The structure of infinite dimensional linear groups satisfying certain finiteness conditions
\jour Algebra Discrete Math.
\yr 2009
\issue 4
\pages 120--134
\mathnet{http://mi.mathnet.ru/adm147}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2681486}
\zmath{https://zbmath.org/?q=an:1199.20082}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Algebra and Discrete Mathematics
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