On topological groups with weak minimality (maximality) condition for noncompact subgroups
We present the structure of a locally compact solvablep-group satisfying the weak minimality (maximality) condition for noncompact subgroups. As a consequence, we obtain the structure of a locally compact prosolvablep-group satisfying the minimality (maximality) condition for noncompact sub-groups....
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| Дата: | 1994 |
|---|---|
| Автори: | , , , |
| Формат: | Стаття |
| Мова: | Російська Англійська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
1994
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| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/5619 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Репозитарії
Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511849510862848 |
|---|---|
| author | Poletskikh, V. M. Shestakov, S. S. Полецких, В. М. Шестаков, С. С. Полецких, В. М. Шестаков, С. С. |
| author_facet | Poletskikh, V. M. Shestakov, S. S. Полецких, В. М. Шестаков, С. С. Полецких, В. М. Шестаков, С. С. |
| author_sort | Poletskikh, V. M. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T09:14:35Z |
| description | We present the structure of a locally compact solvablep-group satisfying the weak minimality (maximality) condition for noncompact subgroups. As a consequence, we obtain the structure of a locally compact prosolvablep-group satisfying the minimality (maximality) condition for noncompact sub-groups. We also construct an example to demonstrate that these results are not true for arbitrary inductively compact locally compact totally disconnected solvable groups. |
| first_indexed | 2026-03-24T03:19:26Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5619 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:19:26Z |
| publishDate | 1994 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/4a/5f18e8e282dba7e64fcfcfc037a3414a.pdf |
| spelling | umjimathkievua-article-56192020-03-19T09:14:35Z On topological groups with weak minimality (maximality) condition for noncompact subgroups О топологических группах со слабым условием минимальности (максимальности) для некомпактных подгрупп Poletskikh, V. M. Shestakov, S. S. Полецких, В. М. Шестаков, С. С. Полецких, В. М. Шестаков, С. С. We present the structure of a locally compact solvablep-group satisfying the weak minimality (maximality) condition for noncompact subgroups. As a consequence, we obtain the structure of a locally compact prosolvablep-group satisfying the minimality (maximality) condition for noncompact sub-groups. We also construct an example to demonstrate that these results are not true for arbitrary inductively compact locally compact totally disconnected solvable groups. Наведено будову локально компактної розв’язуваної р-групи, що задовольняє слабку умову мінімальності (максимальності) для некомпактних підгруп. Як наслідок одержано будову локально компактної пророзв’язуваної р-групи з умовою мінімальності (максимальності) для некомпактних підгруп. Побудовано приклад, який показує, що одержані результати не переносяться на довільні індуктивно компактні локально компактні розв’язувані групи. Institute of Mathematics, NAS of Ukraine 1994-10-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5619 Ukrains’kyi Matematychnyi Zhurnal; Vol. 46 No. 10 (1994); 1393–1398 Український математичний журнал; Том 46 № 10 (1994); 1393–1398 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5619/7923 https://umj.imath.kiev.ua/index.php/umj/article/view/5619/7924 Copyright (c) 1994 Poletskikh V. M.; Shestakov S. S. |
| spellingShingle | Poletskikh, V. M. Shestakov, S. S. Полецких, В. М. Шестаков, С. С. Полецких, В. М. Шестаков, С. С. On topological groups with weak minimality (maximality) condition for noncompact subgroups |
| title | On topological groups with weak minimality (maximality) condition for noncompact subgroups |
| title_alt | О топологических группах со слабым условием минимальности (максимальности) для некомпактных подгрупп |
| title_full | On topological groups with weak minimality (maximality) condition for noncompact subgroups |
| title_fullStr | On topological groups with weak minimality (maximality) condition for noncompact subgroups |
| title_full_unstemmed | On topological groups with weak minimality (maximality) condition for noncompact subgroups |
| title_short | On topological groups with weak minimality (maximality) condition for noncompact subgroups |
| title_sort | on topological groups with weak minimality (maximality) condition for noncompact subgroups |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5619 |
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