A representation for some groups, a geometric approach
Subject Areas : Group theory
A.
Parsian
1
(Department of Mathematics, Tafresh Universiy, 39518-79611 Tafresh, Iran)
Keywords: Group representation, exponential matrix, integral curve, vector field,
Abstract :
‎In the present paper‎, ‎we are going to use geometric and topological concepts‎, ‎entities and properties of the‎‎integral 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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