Geodesic
Geometrical equivalence and action type geometrical equivalence of group representations
Algebra and discrete mathematics, Tome 30 (2020) no. 2, pp. 273-281

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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.
Keywords: geometrical equivalence, action type geometrical equivalence. 
@article{ADM_2020_30_2_a10,
     author = {J. Sim\~oes da Silva and A. Tsurkov},
     title = {Geometrical equivalence and action type geometrical equivalence of group representations},
     journal = {Algebra and discrete mathematics},
     pages = {273--281},
     publisher = {mathdoc},
     volume = {30},
     number = {2},
     year = {2020},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ADM_2020_30_2_a10/}
}
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J. Simões da Silva; A. Tsurkov. Geometrical equivalence and action type geometrical equivalence of group representations. Algebra and discrete mathematics, Tome 30 (2020) no. 2, pp. 273-281. http://geodesic.mathdoc.fr/item/ADM_2020_30_2_a10/