Geometrical equivalence and action type geometrical equivalence of group representations

In this paper we construct an example of two representations \((V_{1},G_{1})\) and \((V_{2},G_{2})\) which are action type geometrically equivalent and groups \(G_{1}\) and \(G_{2}\) are geometrically equivalent, but the representations \((V_{1},G_{1})\) and \((V_{2},G_{2})\) are not geometrically e...

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Datum:2021
Hauptverfasser: Simoes da Silva, J., Tsurkov, A.
Format: Artikel
Sprache:English
Veröffentlicht: Lugansk National Taras Shevchenko University 2021
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Online Zugang:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1127
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Назва журналу:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics
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Zusammenfassung:In this paper we construct an example of two representations \((V_{1},G_{1})\) and \((V_{2},G_{2})\) which are action type geometrically equivalent and groups \(G_{1}\) and \(G_{2}\) are geometrically equivalent, but the representations \((V_{1},G_{1})\) and \((V_{2},G_{2})\) are not geometrically equivalent.