On some topics in the theory of infinite dimensional linear groups

• Published in: Algebra and Discrete Mathematics
• Date: 2020
• Main Authors: Dixon, M.R., Kurdachenko, L.A., Semko, N.N., Subbotin, I.Ya.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2020
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/188498
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On some topics in the theory of infinite dimensional linear groups / M.R. Dixon, L.A. Kurdachenko, N.N. Semko, I.Ya. Subbotin // Algebra and Discrete Mathematics. — 2020. — Vol. 29, № 1. — С. 1–32. — Бібліогр.: 53 назв. — англ.

In this paper we present a synopsis of some recent results concerned with infinite dimensional liner groups, including generalizations of irreducibility, the central dimension of a linear group, groups with finite dimensional orbits and the maximal and minimal conditions on subgroups of infinite cen...