RESEARCH ARTICLE

Geometrical equivalence and action type geometrical equivalence of group representations

J. Simões da Silva, A. Tsurkov

Mathematical Department, CCET, Federal University of Rio Grande do Norte, Av. Senador Salgado Filho, 3000, Campus Universitário, Lagoa Nova, Natal - RN - Brazil - CEP 59078-970

Abstract: 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.

MSC: 20C99, 08C10

Received: 20.04.2018
Revised: 25.06.2020

Language: English

DOI: 10.12958/adm1127

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