Representations of finite p-groups over the ring of formal power-mode series with integral p-addic coefficients
A classification is given of the representations of the cyclic group of order p over the ring ℤp[[х]]  of formal power series with integral p-adic coefficients and it is proved that in the other cases the problem of representations of a finite, p-group over ℤp [[х1, ..., xn]] is wild....
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| Date: | 1992 |
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| Main Authors: | , , , , , |
| Format: | Article |
| Language: | Russian |
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Institute of Mathematics, NAS of Ukraine
1992
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/8006 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860512851763920896 |
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| author | Gudivok , P. M. Oros , V. M. Roiter , A. V. Гудивок , П. М. Орос , В. М. Ройтер , А. В. |
| author_facet | Gudivok , P. M. Oros , V. M. Roiter , A. V. Гудивок , П. М. Орос , В. М. Ройтер , А. В. |
| author_sort | Gudivok , P. M. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2023-12-27T10:18:11Z |
| description | A classification is given of the representations of the cyclic group of order p over the ring ℤp[[х]]  of formal power series with integral p-adic coefficients and it is proved that in the other cases the problem of representations of a finite, p-group over ℤp [[х1, ..., xn]] is wild. |
| first_indexed | 2026-03-24T03:35:22Z |
| format | Article |
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| id | umjimathkievua-article-8006 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus |
| last_indexed | 2026-03-24T03:35:22Z |
| publishDate | 1992 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/42/27f0e572c6abbeda54f28cd9f9f2a642.pdf |
| spelling | umjimathkievua-article-80062023-12-27T10:18:11Z Representations of finite p-groups over the ring of formal power-mode series with integral p-addic coefficients О представлениях конечных р-групп над кольцом формальных степенных рядов с целыми р-адическими коэффициентами Gudivok , P. M. Oros , V. M. Roiter , A. V. Гудивок , П. М. Орос , В. М. Ройтер , А. В. A classification is given of the representations of the cyclic group of order p over the ring ℤp[[х]]  of formal power series with integral p-adic coefficients and it is proved that in the other cases the problem of representations of a finite, p-group over ℤp [[х1, ..., xn]] is wild. Дана классификация представлений циклической группы порядка р над кольцом ℤp[[х]] формальных степенных рядов с целыми р-адическими коэффициентами и доказано, что в других случаях задача о представлениях конечной р-группы над ℤp [[х1, ..., xn]] — дикая. Наведена класифікація зображень циклічної групи порядку р над кільцем ℤp[[х]] формальних степеневих рядів з цілими р-адичними коефіцієнтами і встановлено, що в інших випадках задача про зображення скінченної р-групи над ℤp [[х1, ..., xn]]  в дикою. Institute of Mathematics, NAS of Ukraine 1992-07-07 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/8006 Ukrains’kyi Matematychnyi Zhurnal; Vol. 44 No. 6 (1992); 753-765 Український математичний журнал; Том 44 № 6 (1992); 753-765 1027-3190 rus https://umj.imath.kiev.ua/index.php/umj/article/view/8006/9572 Copyright (c) 1992 P. M. Gudivok , V. M. Oros , A. V. Roiter |
| spellingShingle | Gudivok , P. M. Oros , V. M. Roiter , A. V. Гудивок , П. М. Орос , В. М. Ройтер , А. В. Representations of finite p-groups over the ring of formal power-mode series with integral p-addic coefficients |
| title | Representations of finite p-groups over the ring of formal power-mode series with integral p-addic coefficients |
| title_alt | О представлениях конечных р-групп над кольцом формальных степенных рядов с целыми р-адическими коэффициентами |
| title_full | Representations of finite p-groups over the ring of formal power-mode series with integral p-addic coefficients |
| title_fullStr | Representations of finite p-groups over the ring of formal power-mode series with integral p-addic coefficients |
| title_full_unstemmed | Representations of finite p-groups over the ring of formal power-mode series with integral p-addic coefficients |
| title_short | Representations of finite p-groups over the ring of formal power-mode series with integral p-addic coefficients |
| title_sort | representations of finite p-groups over the ring of formal power-mode series with integral p-addic coefficients |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/8006 |
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