Generalized norms of groups: retrospective review and current status
In this survey paper the authors specify all the known findings related to the norms of a~group and their generalizations (since 2016 in more details). Special attention is paid to the analysis of their own study of different generalized norms, particularly the norm of non-cyclic subgroups, the norm...
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| Дата: | 2023 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Lugansk National Taras Shevchenko University
2023
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| Онлайн доступ: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1968 |
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| Назва журналу: | Algebra and Discrete Mathematics |
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Algebra and Discrete Mathematics| id |
oai:ojs.admjournal.luguniv.edu.ua:article-1968 |
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oai:ojs.admjournal.luguniv.edu.ua:article-19682023-02-08T16:55:57Z Generalized norms of groups: retrospective review and current status Lukashova, T. Drushlyak, M. norm of a group, generalized norm of a group, norm of non-cyclic subgroups, norm of Abelian non-cyclic subgroups, norm of decomposable subgroups 20D25, 20E28 In this survey paper the authors specify all the known findings related to the norms of a~group and their generalizations (since 2016 in more details). Special attention is paid to the analysis of their own study of different generalized norms, particularly the norm of non-cyclic subgroups, the norm of Abelian non-cyclic subgroups, the norm of decomposable subgroups and relations between them. Lugansk National Taras Shevchenko University 2023-02-08 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1968 10.12958/adm1968 Algebra and Discrete Mathematics; Vol 34, No 1 (2022) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1968/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/downloadSuppFile/1968/982 Copyright (c) 2023 Algebra and Discrete Mathematics |
| institution |
Algebra and Discrete Mathematics |
| collection |
OJS |
| language |
English |
| topic |
norm of a group generalized norm of a group norm of non-cyclic subgroups norm of Abelian non-cyclic subgroups norm of decomposable subgroups 20D25 20E28 |
| spellingShingle |
norm of a group generalized norm of a group norm of non-cyclic subgroups norm of Abelian non-cyclic subgroups norm of decomposable subgroups 20D25 20E28 Lukashova, T. Drushlyak, M. Generalized norms of groups: retrospective review and current status |
| topic_facet |
norm of a group generalized norm of a group norm of non-cyclic subgroups norm of Abelian non-cyclic subgroups norm of decomposable subgroups 20D25 20E28 |
| format |
Article |
| author |
Lukashova, T. Drushlyak, M. |
| author_facet |
Lukashova, T. Drushlyak, M. |
| author_sort |
Lukashova, T. |
| title |
Generalized norms of groups: retrospective review and current status |
| title_short |
Generalized norms of groups: retrospective review and current status |
| title_full |
Generalized norms of groups: retrospective review and current status |
| title_fullStr |
Generalized norms of groups: retrospective review and current status |
| title_full_unstemmed |
Generalized norms of groups: retrospective review and current status |
| title_sort |
generalized norms of groups: retrospective review and current status |
| description |
In this survey paper the authors specify all the known findings related to the norms of a~group and their generalizations (since 2016 in more details). Special attention is paid to the analysis of their own study of different generalized norms, particularly the norm of non-cyclic subgroups, the norm of Abelian non-cyclic subgroups, the norm of decomposable subgroups and relations between them. |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2023 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1968 |
| work_keys_str_mv |
AT lukashovat generalizednormsofgroupsretrospectivereviewandcurrentstatus AT drushlyakm generalizednormsofgroupsretrospectivereviewandcurrentstatus |
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2024-04-12T06:26:07Z |
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2024-04-12T06:26:07Z |
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1796109152367411200 |