Groups Representation Using Differential Theory of Vector Fields

چکیده مقاله

In this paper we use geometric concepts, entities and properties of the
integral curves of linear vector fields, and the theory of differential
equations to establish a representation for the additive group of real
numbers and multiplicative group of positive real numbers on nR for
2  n . Among other things, using geometric and topological properties
of n R , we show that these representations, however is not faithful nor
surjective

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