Geometrical equivalence and action type geometrical equivalence of group representations
In this paper we construct an example of two representations (V₁,G₁) and (V₂,G₂) which are action type geometrically equivalent and groups G₁ and G₂ are geometrically equivalent, but the representations (V₁,G₁) and (V₂,G₂) are not geometrically equivalent.
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| Veröffentlicht in: | Algebra and Discrete Mathematics |
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| Datum: | 2020 |
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| Sprache: | English |
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Інститут прикладної математики і механіки НАН України
2020
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| Zitieren: | Geometrical equivalence and action type geometrical equivalence of group representations / J. Simoes da Silva, A. Tsurkov // Algebra and Discrete Mathematics. — 2020. — Vol. 30, № 2. — С. 273–281. — Бібліогр.: 15 назв. — англ. |
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Simoes da Silva, J. Tsurkov, A. 2023-03-06T14:56:04Z 2023-03-06T14:56:04Z 2020 Geometrical equivalence and action type geometrical equivalence of group representations / J. Simoes da Silva, A. Tsurkov // Algebra and Discrete Mathematics. — 2020. — Vol. 30, № 2. — С. 273–281. — Бібліогр.: 15 назв. — англ. 1726-3255 DOI:10.12958/adm1127 2010 MSC: 20C99, 08C10. https://nasplib.isofts.kiev.ua/handle/123456789/188570 In this paper we construct an example of two representations (V₁,G₁) and (V₂,G₂) which are action type geometrically equivalent and groups G₁ and G₂ are geometrically equivalent, but the representations (V₁,G₁) and (V₂,G₂) are not geometrically equivalent. The authors acknowledge the support of Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPES (Coordination for the Improvement of Higher Education Personnel, Brazil). We are thankful to Professor E. Aladova for her important remarks, which helped a lot in writing this article. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Geometrical equivalence and action type geometrical equivalence of group representations Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
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DSpace DC |
| title |
Geometrical equivalence and action type geometrical equivalence of group representations |
| spellingShingle |
Geometrical equivalence and action type geometrical equivalence of group representations Simoes da Silva, J. Tsurkov, A. |
| title_short |
Geometrical equivalence and action type geometrical equivalence of group representations |
| title_full |
Geometrical equivalence and action type geometrical equivalence of group representations |
| title_fullStr |
Geometrical equivalence and action type geometrical equivalence of group representations |
| title_full_unstemmed |
Geometrical equivalence and action type geometrical equivalence of group representations |
| title_sort |
geometrical equivalence and action type geometrical equivalence of group representations |
| author |
Simoes da Silva, J. Tsurkov, A. |
| author_facet |
Simoes da Silva, J. Tsurkov, A. |
| publishDate |
2020 |
| language |
English |
| container_title |
Algebra and Discrete Mathematics |
| publisher |
Інститут прикладної математики і механіки НАН України |
| format |
Article |
| description |
In this paper we construct an example of two representations (V₁,G₁) and (V₂,G₂) which are action type geometrically equivalent and groups G₁ and G₂ are geometrically equivalent, but the representations (V₁,G₁) and (V₂,G₂) are not geometrically equivalent.
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| issn |
1726-3255 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/188570 |
| citation_txt |
Geometrical equivalence and action type geometrical equivalence of group representations / J. Simoes da Silva, A. Tsurkov // Algebra and Discrete Mathematics. — 2020. — Vol. 30, № 2. — С. 273–281. — Бібліогр.: 15 назв. — англ. |
| work_keys_str_mv |
AT simoesdasilvaj geometricalequivalenceandactiontypegeometricalequivalenceofgrouprepresentations AT tsurkova geometricalequivalenceandactiontypegeometricalequivalenceofgrouprepresentations |
| first_indexed |
2025-12-07T19:10:44Z |
| last_indexed |
2025-12-07T19:10:44Z |
| _version_ |
1850877824922025984 |