This article is cited in 3 papers

SURVEY ARTICLE

The structure of infinite dimensional linear groups satisfying certain finiteness conditions

José M. Muñoz-Escolano^a, J. Otal^a, N. N. Semko<sup>b

a</sup> 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

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.

MSC: 20F22, 20H20

Received: 23.08.2009
Revised: 23.08.2009

Language: English

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