Matrix Representations of Finite $p$-Groups over Commutative Local Rings of Characteristic $p^s$
We determine in what cases the problem of description of nonequivalent matrix representations of a finite $p$-group over a commutative local ring of characteristic $p^s$ is wild.
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| Date: | 2002 |
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| Main Authors: | , , , |
| Format: | Article |
| Language: | Russian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
2002
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/4114 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1865791217413914624 |
|---|---|
| author | Gudivok, P. M. Pogorilyak, E. Y. Гудивок, П. М. Погориляк, Е. Я. Гудивок, П. М. Погориляк, Е. Я. |
| author_facet | Gudivok, P. M. Pogorilyak, E. Y. Гудивок, П. М. Погориляк, Е. Я. Гудивок, П. М. Погориляк, Е. Я. |
| author_institution_txt_mv | [
{
"author": "П. М. Гудивок",
"institution": null
},
{
"author": "Е. Я. Погориляк",
"institution": null
}
] |
| author_sort | Gudivok, P. M. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:22:38Z |
| description | We determine in what cases the problem of description of nonequivalent matrix representations of a finite $p$-group over a commutative local ring of characteristic $p^s$ is wild. |
| first_indexed | 2026-03-24T02:53:57Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-4114 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T02:53:57Z |
| publishDate | 2002 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/94/c046de61870c2ff1fc22abf7f0b93e94.pdf |
| spelling | umjimathkievua-article-41142020-03-18T20:22:38Z Matrix Representations of Finite $p$-Groups over Commutative Local Rings of Characteristic $p^s$ Матричные представления конечных $p$-групп над коммутативными локальными кольцами характеристики $p^s$ Gudivok, P. M. Pogorilyak, E. Y. Гудивок, П. М. Погориляк, Е. Я. Гудивок, П. М. Погориляк, Е. Я. We determine in what cases the problem of description of nonequivalent matrix representations of a finite $p$-group over a commutative local ring of characteristic $p^s$ is wild. Вияснено, коли задача опису нееквівалентних матричних зображень скінченної $p$-групи над комутативним локальним кільцем характеристики $p^s$ є дикою. Institute of Mathematics, NAS of Ukraine 2002-06-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4114 Ukrains’kyi Matematychnyi Zhurnal; Vol. 54 No. 6 (2002); 764-770 Український математичний журнал; Том 54 № 6 (2002); 764-770 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/4114/4937 https://umj.imath.kiev.ua/index.php/umj/article/view/4114/4938 Copyright (c) 2002 Gudivok P. M.; Pogorilyak E. Y. |
| spellingShingle | Gudivok, P. M. Pogorilyak, E. Y. Гудивок, П. М. Погориляк, Е. Я. Гудивок, П. М. Погориляк, Е. Я. Matrix Representations of Finite $p$-Groups over Commutative Local Rings of Characteristic $p^s$ |
| title | Matrix Representations of Finite $p$-Groups over Commutative Local Rings of Characteristic $p^s$ |
| title_alt | Матричные представления конечных $p$-групп над коммутативными локальными кольцами характеристики $p^s$ |
| title_full | Matrix Representations of Finite $p$-Groups over Commutative Local Rings of Characteristic $p^s$ |
| title_fullStr | Matrix Representations of Finite $p$-Groups over Commutative Local Rings of Characteristic $p^s$ |
| title_full_unstemmed | Matrix Representations of Finite $p$-Groups over Commutative Local Rings of Characteristic $p^s$ |
| title_short | Matrix Representations of Finite $p$-Groups over Commutative Local Rings of Characteristic $p^s$ |
| title_sort | matrix representations of finite $p$-groups over commutative local rings of characteristic $p^s$ |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4114 |
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