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Linear groups saturated by subgroups of finite central dimension
Репозиторій DSpace/Manakin
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Linear groups saturated by subgroups of finite central dimension
Інший ID:
DOI:10.12958/adm1317
2010 MSC: Primary 20E15, 20F16; Secondary 20E25, 20E34, 20F22, 20F50
2010 MSC: Primary 20E15, 20F16; Secondary 20E25, 20E34, 20F22, 20F50
Посилання:
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.
Дата:
2020
Переглядів:
211
Завантажень:
123
Анотація:
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.
