On some topics in the theory of infinite dimensional linear groups
In this paper we present a synopsis of some recent results concerned with infinite dimensional liner groups, including generalizations of irreducibility, the central dimension of a linear group, groups with finite dimensional orbits and the maximal and minimal conditions on subgroups of infinite cen...
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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/123456789/188498 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | On some topics in the theory of infinite dimensional linear groups / M.R. Dixon, L.A. Kurdachenko, N.N. Semko, I.Ya. Subbotin // Algebra and Discrete Mathematics. — 2020. — Vol. 29, № 1. — С. 1–32. — Бібліогр.: 53 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862738722161688576 |
|---|---|
| author | Dixon, M.R. Kurdachenko, L.A. Semko, N.N. Subbotin, I.Ya. |
| author_facet | Dixon, M.R. Kurdachenko, L.A. Semko, N.N. Subbotin, I.Ya. |
| citation_txt | On some topics in the theory of infinite dimensional linear groups / M.R. Dixon, L.A. Kurdachenko, N.N. Semko, I.Ya. Subbotin // Algebra and Discrete Mathematics. — 2020. — Vol. 29, № 1. — С. 1–32. — Бібліогр.: 53 назв. — англ. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| description | In this paper we present a synopsis of some recent results concerned with infinite dimensional liner groups, including generalizations of irreducibility, the central dimension of a linear group, groups with finite dimensional orbits and the maximal and minimal conditions on subgroups of infinite central dimension.
|
| first_indexed | 2025-12-07T20:05:51Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-188498 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-07T20:05:51Z |
| publishDate | 2020 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Dixon, M.R. Kurdachenko, L.A. Semko, N.N. Subbotin, I.Ya. 2023-03-03T15:41:25Z 2023-03-03T15:41:25Z 2020 On some topics in the theory of infinite dimensional linear groups / M.R. Dixon, L.A. Kurdachenko, N.N. Semko, I.Ya. Subbotin // Algebra and Discrete Mathematics. — 2020. — Vol. 29, № 1. — С. 1–32. — Бібліогр.: 53 назв. — англ. 1726-3255 DOI:10.12958/adm1516 2010 MSC: Primary 20H25; Secondary 20F29, 20E34. https://nasplib.isofts.kiev.ua/handle/123456789/188498 In this paper we present a synopsis of some recent results concerned with infinite dimensional liner groups, including generalizations of irreducibility, the central dimension of a linear group, groups with finite dimensional orbits and the maximal and minimal conditions on subgroups of infinite central dimension. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics On some topics in the theory of infinite dimensional linear groups Article published earlier |
| spellingShingle | On some topics in the theory of infinite dimensional linear groups Dixon, M.R. Kurdachenko, L.A. Semko, N.N. Subbotin, I.Ya. |
| title | On some topics in the theory of infinite dimensional linear groups |
| title_full | On some topics in the theory of infinite dimensional linear groups |
| title_fullStr | On some topics in the theory of infinite dimensional linear groups |
| title_full_unstemmed | On some topics in the theory of infinite dimensional linear groups |
| title_short | On some topics in the theory of infinite dimensional linear groups |
| title_sort | on some topics in the theory of infinite dimensional linear groups |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/188498 |
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