The structure of infinite dimensional linear groups satisfying certain finiteness conditions
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
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