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Эта публикация цитируется в 1 научной статье (всего в 1 статье)
SURVEY ARTICLE
On some topics in the theory of infinite dimensional linear groups
M. R. Dixona, L. A. Kurdachenkob, N. N. Semkoc, I. Ya. Subbotind a Department of Mathematics, University of Alabama, Tuscaloosa, AL 35487-0350, U.S.A.
b Department of Algebra, Faculty of Mathematics and Mechanics, National
University of Dnepropetrovsk, Gagarin prospect 72, Dnipro 10, 49010, Ukraine
c Department of Mathematics, National State Tax Service Academy of Ukraine, 09200 Irpin, Ukraine
d Department of Mathematics and Natural Sciences, National University, 5245 Pacific Concourse Drive, Los Angeles, CA 90045-6904, U.S.A
Аннотация:
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 central dimension.
Ключевые слова:
finite central dimension, irreducible group, quasi-irreducible group, FC-hypercentral, augmentation dimension, finite orbit, finite dimensional orbit, minimal condition, maximal condition.
Поступила в редакцию: 20.12.2019
Образец цитирования:
M. R. Dixon, L. A. Kurdachenko, N. N. Semko, I. Ya. Subbotin, “On some topics in the theory of infinite dimensional linear groups”, Algebra Discrete Math., 29:1 (2020), 1–32
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/adm735 https://www.mathnet.ru/rus/adm/v29/i1/p1
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