The structure of infinite dimensional linear groups satisfying certain finiteness conditions

• Published in: Algebra and Discrete Mathematics
• Date: 2009
• Main Authors: Jose M. Munoz-Escolano, Javier Otal, Semko, N.N.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2009
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/154635
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: The structure of infinite dimensional linear groups satisfying certain finiteness conditions / Jose M. Munoz-Escolano, Javier Otal, N.N. Semko // Algebra and Discrete Mathematics. — 2009. — Vol. 8, № 4. — С. 120–134. — Бібліогр.: 37 назв. — англ.

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...