Linear groups saturated by subgroups of finite central dimension
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...
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| Published in: | Algebra and Discrete Mathematics |
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| Date: | 2020 |
| Main Authors: | , , |
| Format: | Article |
| Language: | English |
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Інститут прикладної математики і механіки НАН України
2020
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/188507 |
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| 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 // Algebra and Discrete Mathematics. — 2020. — Vol. 29, № 1. — С. 117–128. — Бібліогр.: 29 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862721602371715072 |
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| author | Semko, N.N. Skaskiv, L.V. Yarovaya, O.A. |
| author_facet | Semko, N.N. Skaskiv, L.V. Yarovaya, O.A. |
| citation_txt | 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. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| description | 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.
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| first_indexed | 2025-12-07T18:31:48Z |
| format | Article |
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| id | nasplib_isofts_kiev_ua-123456789-188507 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-07T18:31:48Z |
| publishDate | 2020 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Semko, N.N. Skaskiv, L.V. Yarovaya, O.A. 2023-03-03T16:06:10Z 2023-03-03T16:06:10Z 2020 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. 1726-3255 DOI:10.12958/adm1317 2010 MSC: Primary 20E15, 20F16; Secondary 20E25, 20E34, 20F22, 20F50 https://nasplib.isofts.kiev.ua/handle/123456789/188507 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. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Linear groups saturated by subgroups of finite central dimension Article published earlier |
| spellingShingle | Linear groups saturated by subgroups of finite central dimension Semko, N.N. Skaskiv, L.V. Yarovaya, O.A. |
| title | Linear groups saturated by subgroups of finite central dimension |
| title_full | Linear groups saturated by subgroups of finite central dimension |
| title_fullStr | Linear groups saturated by subgroups of finite central dimension |
| title_full_unstemmed | Linear groups saturated by subgroups of finite central dimension |
| title_short | Linear groups saturated by subgroups of finite central dimension |
| title_sort | linear groups saturated by subgroups of finite central dimension |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/188507 |
| work_keys_str_mv | AT semkonn lineargroupssaturatedbysubgroupsoffinitecentraldimension AT skaskivlv lineargroupssaturatedbysubgroupsoffinitecentraldimension AT yarovayaoa lineargroupssaturatedbysubgroupsoffinitecentraldimension |