Linear groups saturated by subgroups of finite central dimension

• Veröffentlicht in: Algebra and Discrete Mathematics
• Datum: 2020
• Hauptverfasser: Semko, N.N., Skaskiv, L.V., Yarovaya, O.A.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут прикладної математики і механіки НАН України 2020
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/188507
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: 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.

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 t...