The structure of infinite dimensional linear groups satisfying certain finiteness conditions

• Datum: 2018
• Hauptverfasser: Munoz-Escolano, Jose M., Otal, Javier, Semko, Nikolaj N.
• Format: Artikel
• Sprache: English
• Veröffentlicht: Lugansk National Taras Shevchenko University 2018
• Schlagworte: Linear group. Minimal; maximal; weak minimal and weak maximal conditions. Central and augmentation dimensions; 20F22; 20H20
• Online Zugang: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/800
• Назва журналу: Algebra and Discrete Mathematics

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...