^{}Department of Mathematics, Tafresh Universiy, 39518-79611 Tafresh, Iran

Abstract

In the present paper, we are going to use geometric and topological concepts, entities and properties of the integral curves of linear vector fields, and the theory of differential equations, to establish a representation for some groups on $R^{n} (n\geq 1)$. Among other things, we investigate the surjectivity and faithfulness of the representation. At the end, we give some applications. .

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