Linear groups saturated by subgroups of finite central dimension

• Published in: Доповіді НАН України
• Date: 2019
• Main Authors: Semko, N.N., Skaskiv, L.V., Yarovaya, O.A.
• Format: Article
• Language: English
• Published: Видавничий дім "Академперіодика" НАН України 2019
• Subjects: Математика
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/158116
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Linear groups saturated by subgroups of finite central dimension / N.N. Semko, L.V. Skaskiv, O.A. Yarovaya // Доповіді Національної академії наук України. — 2019. — № 6. — С. 3-7. — Бібліогр.: 15 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 s...