Non-periodic locally soluble groups with non-Dedekind locally nilpotent norm of decomposable subgroups
UDC 512.544 We study the relations between the properties of nonperiodic groups and the norms of their decomposable subgroups. The influence of restrictions imposed on the norm of decomposable subgroups and on the properties of the group is analyzed under the condition that this norm is non-Dedekin...
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| Datum: | 2026 |
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| Hauptverfasser: | , , , |
| Format: | Artikel |
| Sprache: | Ukrainisch |
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Institute of Mathematics, NAS of Ukraine
2026
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/1532 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860507326753013760 |
|---|---|
| author | Lyman, F. N. Lukashova, T. D. Лиман, Ф. Н. Лукашова, Т. Д. |
| author_facet | Lyman, F. N. Lukashova, T. D. Лиман, Ф. Н. Лукашова, Т. Д. |
| author_sort | Lyman, F. N. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2026-02-09T14:27:57Z |
| description | UDC 512.544
We study the relations between the properties of nonperiodic groups and the norms of their decomposable subgroups. The influence of restrictions imposed on the norm of decomposable subgroups and on the properties of the group is analyzed under the condition that this norm is non-Dedekind and locally nilpotent. We also describe the structure of nonperiodic locally soluble groups for which the norm of decomposable subgroups possesses the indicated properties. |
| doi_str_mv | 10.3842/umzh.v71i11.1532 |
| first_indexed | 2026-03-24T02:07:32Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-1532 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian |
| last_indexed | 2026-03-24T02:07:32Z |
| publishDate | 2026 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/30/b683c774a1e884c954e03de883f91c30 |
| spelling | umjimathkievua-article-15322026-02-09T14:27:57Z Non-periodic locally soluble groups with non-Dedekind locally nilpotent norm of decomposable subgroups Неперіодичні локально розв’язні групи з недедекіндовою локально нільпотентною нормою розкладних підгруп Lyman, F. N. Lukashova, T. D. Лиман, Ф. Н. Лукашова, Т. Д. UDC 512.544 We study the relations between the properties of nonperiodic groups and the norms of their decomposable subgroups. The influence of restrictions imposed on the norm of decomposable subgroups and on the properties of the group is analyzed under the condition that this norm is non-Dedekind and locally nilpotent. We also describe the structure of nonperiodic locally soluble groups for which the norm of decomposable subgroups possesses the indicated properties. УДК 512.544 Вивчаються взаємозв’язки між властивостями неперіодичних груп та їхніх норм розкладних підгруп. Досліджено вплив обмежень, накладених на норму розкладних підгруп, на властивості групи за умови, що така норма недедекіндова та локально нільпотентна. Описано будову неперіодичних локально розв’язних груп, у яких норма розкладних підгруп задовольняє вказані вище умови. Institute of Mathematics, NAS of Ukraine 2026-02-09 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/1532 10.3842/umzh.v71i11.1532 Ukrains’kyi Matematychnyi Zhurnal; Vol. 71 No. 11 (2019); 1519-1528 Український математичний журнал; Том 71 № 11 (2019); 1519-1528 1027-3190 uk https://umj.imath.kiev.ua/index.php/umj/article/view/1532/514 Copyright (c) 2019 Lyman F. N.; Lukashova T. D. |
| spellingShingle | Lyman, F. N. Lukashova, T. D. Лиман, Ф. Н. Лукашова, Т. Д. Non-periodic locally soluble groups with non-Dedekind locally nilpotent norm of decomposable subgroups |
| title | Non-periodic locally soluble groups with non-Dedekind locally
nilpotent norm of decomposable subgroups |
| title_alt | Неперіодичні локально розв’язні групи з недедекіндовою
локально нільпотентною нормою розкладних підгруп |
| title_full | Non-periodic locally soluble groups with non-Dedekind locally
nilpotent norm of decomposable subgroups |
| title_fullStr | Non-periodic locally soluble groups with non-Dedekind locally
nilpotent norm of decomposable subgroups |
| title_full_unstemmed | Non-periodic locally soluble groups with non-Dedekind locally
nilpotent norm of decomposable subgroups |
| title_short | Non-periodic locally soluble groups with non-Dedekind locally
nilpotent norm of decomposable subgroups |
| title_sort | non-periodic locally soluble groups with non-dedekind locally
nilpotent norm of decomposable subgroups |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/1532 |
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