Linear groups saturated by subgroups of finite central dimension

dc.contributor.author	Semko, N.N.
dc.contributor.author	Skaskiv, L.V.
dc.contributor.author	Yarovaya, O.A.
dc.date.accessioned	2023-03-03T16:06:10Z
dc.date.available	2023-03-03T16:06:10Z
dc.date.issued	2020
dc.identifier.citation	Linear groups saturated by subgroups of finite central dimension / N.N. Semko, L.V. Skaskiv, O.A. Yarovaya // Algebra and Discrete Mathematics. — 2020. — Vol. 29, № 1. — С. 117–128. — Бібліогр.: 29 назв. — англ.	uk_UA
dc.identifier.issn	1726-3255
dc.identifier.other	DOI:10.12958/adm1317
dc.identifier.other	2010 MSC: Primary 20E15, 20F16; Secondary 20E25, 20E34, 20F22, 20F50
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/188507
dc.description.abstract	Let F be a field, A be a vector space over F and G be a subgroup of GL(F,A). We say that G has a dense family of subgroups, having finite central dimension, if for every pair of subgroups H, K of G such that H ≤ K and H is not maximal in K there exists a subgroup L of finite central dimension such that H ≤ L ≤ K. In this paper we study some locally soluble linear groups with a dense family of subgroups, having finite central dimension.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут прикладної математики і механіки НАН України	uk_UA
dc.relation.ispartof	Algebra and Discrete Mathematics
dc.title	Linear groups saturated by subgroups of finite central dimension	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA