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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| Дата: | 2020 |
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| Автори: | , , , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Lugansk National Taras Shevchenko University
2020
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| Теми: | |
| Онлайн доступ: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1516 |
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| Назва журналу: | Algebra and Discrete Mathematics |
Репозитарії
Algebra and Discrete Mathematics| _version_ | 1856543239796948992 |
|---|---|
| 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. |
| author_sort | Dixon, M. R. |
| baseUrl_str | |
| collection | OJS |
| datestamp_date | 2020-05-14T18:27:22Z |
| 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 | 2025-12-02T15:30:18Z |
| format | Article |
| id | admjournalluguniveduua-article-1516 |
| institution | Algebra and Discrete Mathematics |
| language | English |
| last_indexed | 2025-12-02T15:30:18Z |
| publishDate | 2020 |
| publisher | Lugansk National Taras Shevchenko University |
| record_format | ojs |
| spelling | admjournalluguniveduua-article-15162020-05-14T18:27:22Z On some topics in the theory of infinite dimensional linear groups Dixon, M. R. Kurdachenko, L. A. Semko, N. N. Subbotin, I. Ya. finite central dimension, irreducible group, quasi-irreducible group, FC-hypercentral, augmentation dimension, finite orbit, finite dimensional orbit, minimal condition, maximal condition Primary 20H25; Secondary 20F29, 20E34 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. Lugansk National Taras Shevchenko University 2020-05-14 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1516 10.12958/adm1516 Algebra and Discrete Mathematics; Vol 29, No 1 (2020) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1516/pdf Copyright (c) 2020 Algebra and Discrete Mathematics |
| spellingShingle | finite central dimension irreducible group quasi-irreducible group FC-hypercentral augmentation dimension finite orbit finite dimensional orbit minimal condition maximal condition Primary 20H25; Secondary 20F29 20E34 Dixon, M. R. Kurdachenko, L. A. Semko, N. N. Subbotin, I. Ya. On some topics in the theory of infinite dimensional linear groups |
| 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 |
| topic | finite central dimension irreducible group quasi-irreducible group FC-hypercentral augmentation dimension finite orbit finite dimensional orbit minimal condition maximal condition Primary 20H25; Secondary 20F29 20E34 |
| topic_facet | finite central dimension irreducible group quasi-irreducible group FC-hypercentral augmentation dimension finite orbit finite dimensional orbit minimal condition maximal condition Primary 20H25; Secondary 20F29 20E34 |
| url | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1516 |
| work_keys_str_mv | AT dixonmr onsometopicsinthetheoryofinfinitedimensionallineargroups AT kurdachenkola onsometopicsinthetheoryofinfinitedimensionallineargroups AT semkonn onsometopicsinthetheoryofinfinitedimensionallineargroups AT subbotiniya onsometopicsinthetheoryofinfinitedimensionallineargroups |