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: | Англійська |
| Опубліковано: |
Lugansk National Taras Shevchenko University
2023
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| Теми: | |
| Онлайн доступ: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1968 |
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| Назва журналу: | Algebra and Discrete Mathematics |
Репозитарії
Algebra and Discrete Mathematics| _version_ | 1856543032033148928 |
|---|---|
| author | Lukashova, T. Drushlyak, M. |
| author_facet | Lukashova, T. Drushlyak, M. |
| author_sort | Lukashova, T. |
| baseUrl_str | |
| collection | OJS |
| datestamp_date | 2023-02-08T16:55:57Z |
| 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. |
| first_indexed | 2025-12-02T15:39:23Z |
| format | Article |
| id | admjournalluguniveduua-article-1968 |
| institution | Algebra and Discrete Mathematics |
| language | English |
| last_indexed | 2025-12-02T15:39:23Z |
| publishDate | 2023 |
| publisher | Lugansk National Taras Shevchenko University |
| record_format | ojs |
| spelling | admjournalluguniveduua-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 |
| 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 |
| title | 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_short | Generalized norms of groups: retrospective review and current status |
| title_sort | generalized norms of groups: retrospective review and current status |
| 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 |
| 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 |
| url | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1968 |
| work_keys_str_mv | AT lukashovat generalizednormsofgroupsretrospectivereviewandcurrentstatus AT drushlyakm generalizednormsofgroupsretrospectivereviewandcurrentstatus |