Geodesic
The structure of infinite dimensional linear groups satisfying certain finiteness conditions
Algebra and discrete mathematics, no. 4 (2009), pp. 120-134.

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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
Mots-clés : maximal, weak minimal and weak maximal conditions. Central and augmentation dimensions. 
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     author = {Jos\'e M. Mu\~noz-Escolano and J. Otal and N. N. Semko},
     title = {The structure of infinite dimensional linear groups satisfying certain finiteness conditions},
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     pages = {120--134},
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     year = {2009},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ADM_2009_4_a9/}
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José M. Muñoz-Escolano; J. Otal; N. N. Semko. The structure of infinite dimensional linear groups satisfying certain finiteness conditions. Algebra and discrete mathematics, no. 4 (2009), pp. 120-134. http://geodesic.mathdoc.fr/item/ADM_2009_4_a9/