Groups with the minimality condition for infinitely generated subgroups
We establish that, in the class of locally almost solvable groups, the minimality condition for infinitely generated subgroups is equivalent to the minimality condition for (all) subgroups.
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| Date: | 1994 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Ukrainian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
1994
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/5647 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511875264937984 |
|---|---|
| author | Shaptala, V. P. Шаптала, В. П. |
| author_facet | Shaptala, V. P. Шаптала, В. П. |
| author_sort | Shaptala, V. P. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T09:14:58Z |
| description | We establish that, in the class of locally almost solvable groups, the minimality condition for infinitely generated subgroups is equivalent to the minimality condition for (all) subgroups. |
| first_indexed | 2026-03-24T03:19:50Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5647 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T03:19:50Z |
| publishDate | 1994 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/1d/f90e99d737e4eacee5fceb23120a961d.pdf |
| spelling | umjimathkievua-article-56472020-03-19T09:14:58Z Groups with the minimality condition for infinitely generated subgroups Группы с условием минимальности для бесконечно порожденных подгрупп Shaptala, V. P. Шаптала, В. П. We establish that, in the class of locally almost solvable groups, the minimality condition for infinitely generated subgroups is equivalent to the minimality condition for (all) subgroups. It is established that, in the class of locally almost solvable groups, the minimality condition for infinitely generated subgroups is equivalent to the minimality condition for (all) subgroups. Institute of Mathematics, NAS of Ukraine 1994-09-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5647 Ukrains’kyi Matematychnyi Zhurnal; Vol. 46 No. 9 (1994); 1280–1282 Український математичний журнал; Том 46 № 9 (1994); 1280–1282 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/5647/7979 https://umj.imath.kiev.ua/index.php/umj/article/view/5647/7980 Copyright (c) 1994 Shaptala V. P. |
| spellingShingle | Shaptala, V. P. Шаптала, В. П. Groups with the minimality condition for infinitely generated subgroups |
| title | Groups with the minimality condition for infinitely generated subgroups |
| title_alt | Группы с условием минимальности для бесконечно порожденных подгрупп |
| title_full | Groups with the minimality condition for infinitely generated subgroups |
| title_fullStr | Groups with the minimality condition for infinitely generated subgroups |
| title_full_unstemmed | Groups with the minimality condition for infinitely generated subgroups |
| title_short | Groups with the minimality condition for infinitely generated subgroups |
| title_sort | groups with the minimality condition for infinitely generated subgroups |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5647 |
| work_keys_str_mv | AT shaptalavp groupswiththeminimalityconditionforinfinitelygeneratedsubgroups AT šaptalavp groupswiththeminimalityconditionforinfinitelygeneratedsubgroups AT shaptalavp gruppysusloviemminimalʹnostidlâbeskonečnoporoždennyhpodgrupp AT šaptalavp gruppysusloviemminimalʹnostidlâbeskonečnoporoždennyhpodgrupp |