Induced Representations of Abelian Groups of Finite Rank
We prove that any irreducible faithful representation of an almost torsion-free Abelian group G of finite rank over a finitely generated field of characteristic zero is induced from an irreducible representation of a finitely generated subgroup of the group G.
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| Date: | 2003 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Ukrainian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
2003
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/3997 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510127993389056 |
|---|---|
| author | Tushev, A. V. Тушев, А. В. |
| author_facet | Tushev, A. V. Тушев, А. В. |
| author_sort | Tushev, A. V. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:18:03Z |
| description | We prove that any irreducible faithful representation of an almost torsion-free Abelian group G of finite rank over a finitely generated field of characteristic zero is induced from an irreducible representation of a finitely generated subgroup of the group G. |
| first_indexed | 2026-03-24T02:52:04Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-3997 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T02:52:04Z |
| publishDate | 2003 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/96/3469a2774214b074a2e9bcf5479ab596.pdf |
| spelling | umjimathkievua-article-39972020-03-18T20:18:03Z Induced Representations of Abelian Groups of Finite Rank Индуцированные представления абелевых групп конечного ранга Tushev, A. V. Тушев, А. В. We prove that any irreducible faithful representation of an almost torsion-free Abelian group G of finite rank over a finitely generated field of characteristic zero is induced from an irreducible representation of a finitely generated subgroup of the group G. Доведено, що кожне иезвідие точне зображення абелевої групи $G$ скінченного рангу і майже без скруту над скіпченнопороджеиим полем нульової характеристики індуковане з незвідного зображення скіпченнопородженої підгрупи групи $G$. Institute of Mathematics, NAS of Ukraine 2003-09-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/3997 Ukrains’kyi Matematychnyi Zhurnal; Vol. 55 No. 9 (2003); 1249-1253 Український математичний журнал; Том 55 № 9 (2003); 1249-1253 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/3997/4706 https://umj.imath.kiev.ua/index.php/umj/article/view/3997/4707 Copyright (c) 2003 Tushev A. V. |
| spellingShingle | Tushev, A. V. Тушев, А. В. Induced Representations of Abelian Groups of Finite Rank |
| title | Induced Representations of Abelian Groups of Finite Rank |
| title_alt | Индуцированные представления абелевых групп конечного ранга |
| title_full | Induced Representations of Abelian Groups of Finite Rank |
| title_fullStr | Induced Representations of Abelian Groups of Finite Rank |
| title_full_unstemmed | Induced Representations of Abelian Groups of Finite Rank |
| title_short | Induced Representations of Abelian Groups of Finite Rank |
| title_sort | induced representations of abelian groups of finite rank |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/3997 |
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