The representation type of elementary abelian \(p\)-groups with respect to the modules of constant Jordan type
We describe the representation type of elementary abelian \(p\)-groups with respect to the modules of constant Jordan type and offer two conjectures (for such modules) in the general case, one of which suggests that any non-wild group is of finite representation type in each dimension.
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| Дата: | 2018 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Lugansk National Taras Shevchenko University
2018
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| Теми: | |
| Онлайн доступ: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/709 |
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| Назва журналу: | Algebra and Discrete Mathematics |
Репозитарії
Algebra and Discrete Mathematics| _version_ | 1856543067886059520 |
|---|---|
| author | Bondarenko, Vitalij M. Lytvynchuk, Iryna V. |
| author_facet | Bondarenko, Vitalij M. Lytvynchuk, Iryna V. |
| author_sort | Bondarenko, Vitalij M. |
| baseUrl_str | |
| collection | OJS |
| datestamp_date | 2018-04-04T09:58:22Z |
| description | We describe the representation type of elementary abelian \(p\)-groups with respect to the modules of constant Jordan type and offer two conjectures (for such modules) in the general case, one of which suggests that any non-wild group is of finite representation type in each dimension. |
| first_indexed | 2025-12-02T15:32:12Z |
| format | Article |
| id | admjournalluguniveduua-article-709 |
| institution | Algebra and Discrete Mathematics |
| language | English |
| last_indexed | 2025-12-02T15:32:12Z |
| publishDate | 2018 |
| publisher | Lugansk National Taras Shevchenko University |
| record_format | ojs |
| spelling | admjournalluguniveduua-article-7092018-04-04T09:58:22Z The representation type of elementary abelian \(p\)-groups with respect to the modules of constant Jordan type Bondarenko, Vitalij M. Lytvynchuk, Iryna V. elementary abelian groups, matrix representations,representation type, constant Jordan type 16G60, 20C20 We describe the representation type of elementary abelian \(p\)-groups with respect to the modules of constant Jordan type and offer two conjectures (for such modules) in the general case, one of which suggests that any non-wild group is of finite representation type in each dimension. Lugansk National Taras Shevchenko University 2018-04-04 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/709 Algebra and Discrete Mathematics; Vol 14, No 1 (2012) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/709/242 Copyright (c) 2018 Algebra and Discrete Mathematics |
| spellingShingle | elementary abelian groups matrix representations,representation type constant Jordan type 16G60 20C20 Bondarenko, Vitalij M. Lytvynchuk, Iryna V. The representation type of elementary abelian \(p\)-groups with respect to the modules of constant Jordan type |
| title | The representation type of elementary abelian \(p\)-groups with respect to the modules of constant Jordan type |
| title_full | The representation type of elementary abelian \(p\)-groups with respect to the modules of constant Jordan type |
| title_fullStr | The representation type of elementary abelian \(p\)-groups with respect to the modules of constant Jordan type |
| title_full_unstemmed | The representation type of elementary abelian \(p\)-groups with respect to the modules of constant Jordan type |
| title_short | The representation type of elementary abelian \(p\)-groups with respect to the modules of constant Jordan type |
| title_sort | representation type of elementary abelian \(p\)-groups with respect to the modules of constant jordan type |
| topic | elementary abelian groups matrix representations,representation type constant Jordan type 16G60 20C20 |
| topic_facet | elementary abelian groups matrix representations,representation type constant Jordan type 16G60 20C20 |
| url | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/709 |
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