On some topics in the theory of infinite dimensional linear groups

• Date: 2020
• Main Authors: Dixon, M. R., Kurdachenko, L. A., Semko, N. N., Subbotin, I. Ya.
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2020
• Subjects: finite central dimension; irreducible group; quasi-irreducible group; FC-hypercentral; augmentation dimension; finite orbit; finite dimensional orbit; minimal condition; maximal condition; Primary 20H25; Secondary 20F29; 20E34
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1516
• Journal Title: Algebra and Discrete Mathematics

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...