Title of article :
ON ISOMETRIES OF R^2 πp
Author/Authors :
Bayar, A. Eski¸sehir Osmangazi University - Department of Mathematics & Computer Science, Eskisehir, Turkey , Kaya, R. Eski¸sehir Osmangazi University - Department of Mathematics & Computer Science, Eskisehir, Turkey
Abstract :
In this work, we introduce a family of distance functions and show that the group of isometries of the plane associated with the induced metrics is the semi-direct product of the Dihedral group D2n and the translation group T (2).
Keywords :
Group , Isometry , Distance function , Metric.
Journal title :
Hacettepe Journal Of Mathematics and Statistics
Journal title :
Hacettepe Journal Of Mathematics and Statistics